School Choice and School Productivity (or Could School Choice be a Tide that Lifts All Boats?)

A school’s efficiency is defined as the success per dollar spent on students, (with the disparities of incoming accomplishment of its pupils constant), thus a more productive school yields higher success in each per student expenditure.

I. Why the Productivity Consequences of School Choice Matter a Lot

Regardless indirect discussion of school productivity, previous studies on school choice often overlooked it. Literatures on school choice focused on distribution questions, such as:
1.      Who practices school choice?
2.      Who selects which school?
3.      How does choice alter the distribution of resources?
Although school choice could theoretically enhance student achievement through reallocation, such would require that, for every student, gains from attending a school that is better match beyond the spending enforced by school choice.
The fundamental logic is that choice provides schools better incentives to be productive because students favor more productive schools than less productive schools. Thus, having the same per student expenditures for both schools, a school would highly likely lose a student to a school that increase a student’s achievement.  Such process would lead to either two things:
1.      the less productive school is replaced by the more productive replaced; or
2.      the less productive school would raise its productivity and would hence be able to keep its population of students
In general, improvement in school productivity could be “a rising tide that lifted all boats, and the gains and losses from reallocation might be nothing more than crests and valleys on the surface of the much higher water level.”[1]
Thus the reason productivity consequences of school choice matter is because they likely determine whether all children will gain from choice. For “rising tide” to occur the concern would be on what efficiency schools could rationally be expected to achieve.

A. How Much Higher School Productivity Plausibly Be?
National Assessment of Educational Progress (NAEP) is a nationally representative measure of student achievement in the United States which reflects the entire student population’s success and is intended for evaluation across schools and for long period of time. By calculating NAEP points per thousand real dollars spent per pupil, the results implied that from 1970-71 to 1998-99 school years, (the CPI-based) productivity fell significantly greater than 50 percent and 70 percent in terms of math and reading, respectively. If schools went back to 1970-71 reading productivity and 1972-73 math productivity, the mean American pupil would attain a score that lesser than 10 percent of American students presently achieve.
Meanwhile in consideration of the demographic changes, it may be that schools were not losing productivity, instead they were merely in operation with students belonging to a family with poor background.
The standard approach to address such issue is to:
1.      Identify the impact of attributes such as African-American, Hispanic, single-parent family, family income, and so forth;
2.      Evaluate what would be the 1998-99 achievement provided that the student population were equal to the 1970-71 student population;
3.      Identify what would be 1998-99 productivity given that student population was the same as that of 1970-71.
It seems that taking such method into consideration, but adjusting for demographic increased the decline in productivity by approximately 3 percentage points. Increase in the decline is due to smaller fraction of student having high school or college graduate parents (in 1971-1972) than the latter years. In addition, pupils having parents who dropped out of high school seems to attain lower scores on the NAEP exam than their peers. Meanwhile, since 1971-72, the fractions of African-American and Hispanic pupils have increased, and they tend to score worse on NAEP exam in contrast to non-Hispanic white students. On the other hand, the impact of the changing racial composition is overshadowed by the impact of the changes in the parent’s education and income.
Another factor to consider for the drop in school productivity aside from demographic changes is probably the changes in career opportunities for women. Explicitly, over the period 1970 to 1999, non-teaching opportunities for women were opening up, thus making it more and more costly for schools to hire a female with a certain level of skills.
Thus by adjusting for salary of women having advanced degrees, the fall in productivity ranging from 39.1 to 57.6 percent, though small (compared to CPI-based decline) is still substantial.
Findings imply that the main cause of the drop in productivity is not the changing student attributes nor female career opportunities, but the school conduct. Thus policies that improve school conduct could likely trigger large boosts in productivity. Stating this, however, is not enough. Whether choice actually causes schools to increase productivity must be investigated.

B. How School Productivity Affects American Industry and Growth
United States’ comparable advantage in making goods and services that intensively use educated labor is because America always had a relatively plenty of educated labor – thus United States has constantly been able to generate education rather cheaply. America’s “new economy” products such as microprocessors, software, and knowledge services, are some of the most human capital intensive goods in the world. Moreover, from basic trade theory that human capital intensive economy is based on the Americans capability to somehow inexpensively generate education in its population. Although Americans can import human capital, it cannot be a source of comparative advantage in the mid-to long-run.
Therefore, if Americans wish to maintain their growing economy that is concentrated on human capital intensive goods, they must concern themselves on the quickly declining productivity in their schools – as dropping school productivity leads to America’s having a somewhat more expensive human capital, which then leads to a loss of comparative advantage in human capital intensive goods.
This implies that the effect of choice on school productivity does not only have an overwhelming impact on the allocation effects of choice on achievement but it also has a wide connotations for the macroeconomy, for trade, and for Americans’ occupations.

II. How Productivity Fits into the School Choice Literature

Previous literatures on school choice have somehow disregarded the productivity implications of choice. This neglect is due to the foundations of the theoretical literature. School choice models have developed out of local public goods provision models, which have conventionally concentrated solely on allocation issues, for instance what local public good is offered and how a person’s local public good choice affects others. School choice literature has been influenced by such focus, however, previous literature must not dictate neglect of productivity.
Examples of the importance of productivity effects when competition is introduced into a market:
1. Health care: after the passing of legislation in 1980s-1990s, managed care organizations were permitted to compete. Effects of competition were not just on the allocation of health care, but more remarkably on productivity, which was beyond the expectations of the managed care supporters. Productivity seems to develop in a more competitive condition, partly because competition encouraged providers to take on efficiency enhancing technology and to put off conduct created rents.
2. Trucking services: deregulation in the 1970s led to the remarkable growth in trucking competition. For the same amount, a trucking client is provided faster and more specialized service than before.
3. Parcel services: competition enhanced productivity not only because the private companies had higher productivity and yield growth than the United States Postal Service, but because it also made the United States Postal Service to significantly boost its own productivity.
It is rather peculiar that school productivity is neglected in the school choice literature since there is growing interest among economists in the productivity of not-for-profit, semi-public and regulated organizations.
It is worth mentioning that one type of school-related study does contain considerable evidence on productivity, though productivity is hardly ever cited and calculations for which are never made. Such research compares students’ yields in public and private schools and tries to get rid of selection bias, which may occur from the fact that the difference of students who “self-select” into private schools compared to students who stays in public schools may be unobservable.
Reformulation of the research as a comparison of public and private school productivity is due to the continuous attempt to evaluate accomplishments and hold steady the quality of student inputs. However, other inputs, such as spending, are not constant and this fact is often disregarded. Particularly, the common private school per pupil spending in the United States is roughly 60 percent as much as that of the common public school, on the other hand, private school spending is much more erratic than public school spending thus minimum (maximum) private school expenditure is below (above) the minimum (maximum) public school expenditure. Hence, although researchers are able to observe public and private schools producing similar yields, it would likely be factual that private schools are substantially more productive as their mean costs are lower. In order to make a precise comparison of public and private school yield, productivity calculation for each school must be made in order to consider the differences in the spending distribution and these calculations are to be compared for students having similar backgrounds.

III. Why Should Choice Affect School Productivity?

This is mainly a query on:
1.      What is maximized by schooling producer; and
2.      What the schooling production function is like?
The answer this question varies for different types of schooling producers: for-profit firms, not-for-profit private schools, charter schools, and regular public schools.
For all types of producers, one assumption is maintained: For any given cost, parents will select the school that produces the schooling that they deem most valuable.

A. A For-Profit School Producer that Takes Up Charter School Contracts
A for-profit firm that starts a charter school is somewhat typical of Edison Schools and may become a general model if charter school programs were more extensively enacted.  The law sets the fees imposed by schools, and parents are not able to “top up” the cost. In addition, it is also assumed that the school’s plan to accept or reject pupils cannot be included in the school’s profit maximization strategy.
Then the concern of the school is maximizing the difference between revenues (the product of the fixed fee and the number of pupils who enroll) and costs (the product of per-student costs and the number of pupils who enroll).[2] The per-student cost is an increasing function of the quality that the school offers, the labor that it employs, and other inputs it utilizes. Moreover it is also a function of the salary rate for the employees and the going price for other school inputs. It is assumed that per-student costs are similar in spite of the school’s size – however such assumption may unlikely be true.
 Meanwhile, the number of enrollment is an increasing function of quality since parents chooses the school that provides the highest quality for a certain price.
Now, assume that the school shares similarly in enrollment if it presents precisely the same quality as another school.
In such conditions, the best option for school is to maximize the subject quality given the restriction that its per-student spending must not go beyond the charter school fee. In other words, the school should maximize its productivity for a certain cost to prevent another school from taking in all the students in the area. Thus it is not surprising that unproductive schools will be eliminated from the market.
The school can maximize the number of pupil on whom it gets its slim profit by providing the highest possible quality that the charter school fee can bear. Managers of for-profit schooling firms consider that there are economies of scale in schooling since a firm can pay lower costs for its inputs if it consolidates purchasing, curricular research and development, and information processing over various schools. Given economies of scale, huge firms are likely able to earn economic profits (profits surpass the earnings needed to pay the cost of capital) in local markets where they compete with other schools that are too small to exploit the economies of scale.

B. A For-Profit School that Takes Up Vouchers
A for-profit school firm that takes voucher students is relatively comparable to what was discussed above, apart from, however, the consideration that parents are implicitly permitted to “top up” a voucher with extra tuition payments from their own funds.
If not, suppose that the case is similar: the school haves to allow voucher applicants on a random bias depending on their willingness to pay the school’s fees with a combination of the voucher and additional tuition costs.
Since school set its fees, the concern becomes more complicated, as the school must take into consideration the fact that a higher fee implies not just larger revenue per pupil who enrolls but also fewer enrollment – since higher fee puts off enrollment for any given quality level the school provides. Thus for any given fee, the school should maximize the quality it produces provided that the costs are less than or equal to the given fee so as not to lose its entire enrollment to another school that provides higher quality for the same costs. The new equation allows for the economies of scales.[3] Hence, a school aiming for a “better” but smaller niche of parents who are eager to take on higher fees for higher quality, must consider the loss of economies of scale and consequently, increase in its costs.

C. A Non-Profit School that Takes Up Charter School Contracts
Not-for-profit firms are the huge majority of school producers that engage in charter school contracts or voucher pupils. The primary distinction between a non-profit and a for-profit institution is the surplus distribution as the latter allocates profits to its owners (private owners or shareholders). Thus, it is logical to assume basic profit maximization since owners instantly benefit from profits. If a non-profit school has surplus (difference of revenue and cost), it cannot directly, by any means pay them to anyone. On the other hand, surplus can be considered significant since it can be utilized in various ways:
1. It can be used to allow working environment satisfying for the school’s staff regardless if such conditions do not add to productivity.
2. It lets a school follow social goals that its staff consider valuable such as exploring teaching methods, creating new curricula, and so forth.
Some of the things to consider on the surplus distributions:
1. They are almost always ineffective compared to cash distribution as portions of the surplus are lost in the process converting it into goods or services that the employee values. Thus, a school worker receives weaker incentives than what they would receive if they could be given cash incentives.
2. Though it is fairly easy to allocate a non-profit school’s surplus to its employee, it is difficult to legally issue it to a particular owner. Hence, a school is less motivated to expand merely to increase the absolute surplus size – as schools expand surplus will rise, however, the number of staff over whom the surplus is distributed will also increase. This is contrast to the for-profit condition where owners have motivation to increase their schooling production provided they can get some positive surplus per additional enrollee.
Hence the under the new maximization problem, although the school’s motivations to increase enrollment are weaker compared to a for-profit school, its motivations to maximize productivity are strong. The school is overwhelmed by its competitors if it does not generate the maximum quality possible given that its costs do not exceed the fixed charter school fee. [4]
Comments not-for-profit school’s maximization problem:
1. Provided there are economies of scale, school will have greater incentives to expand enrollment.
2. If the school produce surplus and use it to buy staff rewards that appear to be inputs – although this do not add to outcomes that parents value – one’s measure of the non-profit school productivity may somewhat understate its true productivity. The understatement will be slim since competition among non-profit schools will stir surplus to zero.

D. A Non-Profit School that Takes Up Vouchers
The not-for-profit voucher school should maximize productivity so it does not to lose its enrollment to equivalent schools that provide higher quality for the same price. The only problem is that the school must select its fee and quality at the same time, and the only stipulation is that the school has weaker motivations to increase enrollment than a for-profit voucher school.[5]

E. A Summary for Fee-Based Schools (For-Profit and Non-Profit)
For all the cases, the school’s revenue is gained from student fees. The fee basis is vital since it implies that parents’ choices decide whether a school is practical or not. If a school’s pupils are drawn away by a competing school that imposes the same prices, logically, the school must enhance its productivity. Furthermore, even though only for-profit schooling firm will have greater motivations to go into new markets and expand new enrollment, both not-for-profits and for-profits have reasons to maximize productivity.
It is often questioned whether there will be an elastic charter or voucher schools supply. This is vital for non-profits in which obvious incentives to grow is absent as they only wish to earn a small surplus on additional students. If economies of scale are present, they suggest that both for-profits and non-profits must have elastic supply once they are in business. On the other side, there are some factors that may operate like diseconomies of scale, for example, a charismatic principal managing a large school may likely lackluster due to little direct contact with students.
Buildings are often taken as a possible factor that would limit the charter or voucher schools supply elasticity. However, such seems to be a short-run phenomenon that is primarily observed in start-up of new charter or voucher programs. The total number of student enrollments does not increase merely because of an entry of a new school, hence, the presence of charter or voucher school competition does not need much of a net increase in school building. So as students transfer to a more productive school from less productive one, buildings should be sold (purchased) by the shrinking or exiting schools (expanding or entering schools).
Still schools are rather undividable and although parts of school buildings are often sold or leased to separate schools, only particular portion of a building will generally create a feasible school. Rationally, competition calls for a slight increase in the total stock of school buildings, to provide more flexibility as parents’ capacity to select makes enrollment more variable.
Moreover, some factors (economies of scale) imply that school supply will be extremely elastic, while other factors (diseconomies of scale) imply that school supply will be less elastic.

F. Competition and the Productivity of Regular Public Schools
A typical public school in competition with a charter or voucher school, with the latter’s fee coming directly from its budget, then the former is fee-based at the margin and will have marginal incentives to be productive. The effectiveness of these marginal incentives relies on the scale of the fee or voucher as some vouchers or fees are so small in relation to regular per-student costs that they provide public school perverse motivations to push students away – and for each of these students, their per pupil spending increases non-negligibly. Moreover, public school employee might be able to gain larger surplus by driving students away than trying to draw them in. Such twisted scenarios can be evaded by setting an adequately high voucher or charter school fee.
However, a regular public school not facing competition from a charter or voucher school and is also not fee-based at the margin, still has incentives to be productive. A public school is funded by local property taxes and experiences a high level of traditional choice among public school districts – which occurs when parents select a school district by selecting a residence. This traditional choice is certainly the most insidious and significant form of choice in American elementary and secondary schooling. So that this form of choice provides schools incentives to be productive, it is crucial that parents pick among districts that are fiscally independent.
Normally, United States public school districts have revenues that rely heavily on local property taxes, hence parents, in a metropolitan area, able to select among a large number of districts, will be inclined to favor districts that produce higher achievement for a certain local property tax liability or, equivalently, have lower local tax liability for a particular achievement level. In other words, parents are apt to prefer districts having high productivity, thus they tend to avoid school district with declining productivity which would result to decrease in the demand for its houses which in turn bring down the district’s property prices, which consequently, bring down the school’s budget, which depends on property tax revenues. The administrator will be urged to increase productivity, either via maintaining achievement given the lessening budget or through substantially increasing achievement, making the district appealing to homebuyers once more.
It was found that the households’ observations of achievement and tax liabilities are “universalized” by means of the housing market in order that every family’s house price shifts in a certain way as to provide schools incentives to be productive. This productivity-inducing mechanism[6] can be long-lasting since it relies on decentralized choices, as opposed to centralized reward systems which are likely to be unsound since state governments cannot, ex post, credibly stick to systems that lessen the amount of money distributed to failing school districts.

IV. Finding Evidence on How Choice Affects School Productivity

Some problems may arise in any analysis of how choice affects productivity:

A. The Endogenous Availability of Choice Options
One problem is the fact that choice options do not occur randomly, but are often a reaction to school conduct, particularly, when people are displeased with a certain conduct of a school, they try to generate (or maintain their access to existing) alternative schools. This occurrence can be observed relative to the production (or maintenance) of private schools, charter schools, and voucher programs. Parents, who are frustrated over the terrible public schools in a given area, are willing to put some effort or devote some money to attain alternative schooling. This produces an area wherein private schooling is widespread since the public schools are terrible.
Furthermore, the presence of choice options due to bad public schools is an issue that is also present in traditional choice among public school districts. Voters refuse district integration in areas with one or more districts having bad productivity; and expectedly, voters support integration provided all the districts have good productivity, this in order to take advantage of economies of scale. However, since districts having bad productivity, sub-areas are eager to break away to form another district, while districts with good productivity, withdrawals do not occur , hence, areas having numerous districts often have one or more districts with bad productivity.
Endogenous school choice in areas where public schools are bad produces bias if a researcher plainly estimates the choice effect on productivity. Because schools having bad productivity stimulate choice creation, and it might seem as if choice induce poor productivity. Such bias can be avoided by:
1. Evaluating the same school district before and after a choice reform
- This normally creates “differences-in-differences” strategies.
2. Finding a source of disparity in the choice availability that is not associated with the underlying factors of poor school productivity.
- This normally creates instrumental variables strategies.

B. Unobserved Differences in Student Inputs that Appear to be Differences in Productivity
Meanwhile, in measuring a school’s productivity, the differences in pupil inputs must be fully considered as to avoid identifying a run of the mill school as highly productive just because it has good student inputs – achievement is high even though it adds minuscule learning on top of what the students learn outside school process. However, there is difficulty in observing, measuring and controlling all student inputs such as enthusiasm and natural skill.
There are three ways to deal with this concern:
1. Comparing schools having high choice-based incentives such as voucher or charter schools with low choice-based incentives like large public school district that leads a metropolitan area, in which it must be guaranteed that an arbitrary mechanism, not correlated with unobserved motivation/skills, allocates pupils to schools. Given such mechanism, schools will have an equivalent distribution of unobserved motivation/ability, and the disparity in achievement per dollar spent will precisely reflect true variations in productivity.
2. Comparing students’ accomplishments from an environment having little or no choice to an environment having lot of choice, provided that pupils cannot select the environment to go into, such method produces good estimates.
3. Evaluating the achievement of pupil who is unlikely to gain from choice except if all students gain. For instance, in comparing school productivity before and after a private school becomes available, it was observed that the private school attracts students who are high achievers formerly in the public schools, hence, the measured productivity at the public schools before and after the private school’s opening can be estimated, knowing that public schools’ measured productivity is expected to increase only if all students benefit from the private school choice availability.

C. Measuring Productivity
Productivity is achievement per dollar exhausted in a school and issues on productivity measurement are mostly linked to measuring achievement. Using gauges of achievement like grades, having diverse interpretations in various schools and times must be avoided. In addition, using standardized tests administered only to a small number of pupils, for instance, Scholastic Aptitude Test (SAT1) or American College Test (ACT), must be avoided because it generates self-selection bias that is impossible to fix without the use of other standardized tests that are to be taken by the entire student population. However, if such a population wide standardized test exists, then it should be used rather than the SAT1 or ACT. Moreover, given the broad standardized test, would raise another concern on what score to be used (reading, math, science, elementary, secondary, and so on).
Measuring per student expenditure face few concerns provided similar definition is used for all schools.

V. The Effect of Traditional Forms of School Choice on Productivity

Through mechanisms such as ability to select among public school districts and to select private schools, parents have traditionally practiced some choice on schooling of their children. Such traditional forms of choice are helpful in estimating the impact of choice on productivity, particularly since, the availability of traditional choice mechanisms largely differs across United States metropolitan areas. Some areas hold several independent school districts and plenty of inexpensive private schools, while other areas are fully monopolized by one school district or there is almost no available private schooling.
Additionally, traditional choice provides significant evidence on productivity that is somewhat unavailable and shows empirical strategies for determining the impacts of traditional choice.

A. Traditional Inter-District Choice
The first traditional form of choice takes place when parents select among independent public school districts through selecting a residence, and the extent to which this can be used by parents relies on the number, scale, and housing patterns of districts in the area of the parents’ occupation. A regular metropolitan area has an amount of choice that corresponds to containing four equal-sized school districts (or a bigger number of less uniformly sized districts). On the other hand, people having occupations in rural areas normally have just one or two school districts to choose from. When studying traditional inter-district choice, it is better to focus on metropolitan areas as to evade a much-choice/little-choice evaluation that primarily mirrors urban/rural disparities in school productivity,
In order for traditional form of choice to be helpful in determining productivity effects of choice, it is crucial for parents to pick among fiscally and legally independent districts. Since the mechanism above does not function, if a district is entirely reliant on state revenue or is taken safe from consequences linked with incapacity to draw parents. Intra-district choice among schools does not offer valuable evidence on productivity effects since by definition, the schools in a district are fiscally dependent on one another.
Furthermore, a fine index of inter-district choice is the likelihood that, in an arbitrary encounter, two pupils in the metropolitan area would be admitted in different school districts. If only one district is present, the probability would be zero; and if there are several districts, the probability would approach one (greater than 0.95). [7]

B. Traditional Choice of Private Schools
The second means in which parents exercise traditional form of choice is through admitting their children into private schools. America private schools are not subsidized by public funds hence, parents can afford private school only if they can pay tuition at the same time, pay taxes that sustain local public schools. Partially, as result, only 12 percent of American students are from private schools. Moreover, 85 percent of private school students are enrolled in a school with religious affiliation, having tuition that varies from a coupon amount to above 10,000 dollars; while, the remaining 15 private attend private schools having no religious affiliation, which charge tuition of 5,000 dollars or higher. The average Catholic school student in the United States is charged between 1,200 and 2,700 dollars for tuition.
The main feature of American private schools is that tuition is normally subsidized by revenues from donations or an endowment. Schools that serve low-income pupils have bigger fraction of schooling cost covered by subsidies, however even fairly costly private schools impose subsidized tuition.
Meanwhile, given a certain level of quality, the quantity of private school places that are available at a particular tuition (or the private schooling supply) significantly differs among United States metropolitan areas. Therefore the extent to which parents can exercise choice between public and private schools changes among metropolitan areas.
           
C. Why Evidence from the Traditional Forms of Choice is Necessary
Evidence from the traditional forms of choice is essential since it can disclose the long-term, general equilibrium impacts of choice, while evidence from recent reforms cannot.
In the short term, an administrator trying to raise the school’s productivity in respond to competition has merely certain options:
1. Make the staff to work harder;
2. Do away with unproductive employee and programs;
3. Distribute resources away from non-achievement oriented objectives such as building self esteem, and into achievement oriented ones such as math, reading, and so forth.
4. In the medium term, the school can be made more effective through the renegotiation of the teacher contract.
By exercising all of these options, the administrator may be able to substantially enhance the school productivity.
Nonetheless, productivity can be affected by choice through a range of long-term, general equilibrium mechanisms that are not directly available to an administrator. The financial stress of choice may command higher salaries for teachers whose teachings increase achievement and draw in parents. In turn, it may attract people into teaching or maintain existing teachers who may as well follow other professions. Certainly, it could alter the entire reward structure in teaching and thus transform the occupation.
1. The importance of pulling parents in might induce schools to release more information about their achievement and thus could gradually turn parents into better “consumers.” Since parents’ choices are more significant when schools are funded by fees they control; choice can make schools more open to parent participation.
2. The significance of producing competitive outputs in relation to other schools may drive schools to identify and discard academic techniques and curricula that are ineffective.
In the long-term, the scale and existence of schools is affected by choice:
1. Choice increases and decreases districts’ enrollments;
2. Choice makes private schools enter and exit.

D. The Effect of Traditional Inter-District Choice on School Productivity
Provided with the good measure of the degree of inter-district choice in a metropolitan area, the concern in particular is that districts merge with productive districts but withdraw from unproductive districts. Hence to get unbiased estimates, geographic or historical factors (that raise a metropolitan area's inclination to hold many independent districts but have no straightforward impact on modern public school conduct) are needed.
The effects of inter-district choice is estimated using regressions in which the dependent variable is either achievement or per student costs, with the choice index to be the main independent variable. The primary disparity in the regression is found in the metropolitan area level; however there is a control placed on a wide range of background variables (household income effect, parents' educational background, family size, race, region, metropolitan area size, and the local population's income, racial composition, educational attainment, and so forth) that may also possibly affect schools or students.
The key results of these regressions illustrate that inter-district choice has a positive, statistically significant effect on productivity with at least 95 percent confidence. It shows that the schools are able to simultaneously have significantly higher accomplishment and significantly lower costs provided their productivity is considerably higher.

E. The Effect of Traditional Private School Choice on School Productivity
To measure the impact of changing private school competition for public schools, factors that have an effect on the private schooling supply, but have no direct impact on achievement are needed. Such factors comprise of historical differences in metropolitan areas’ religious composition since religious groups left donations that make disparities in the amount of non-tuition revenue enjoyed by private schools.
As long as there is a control for the present religious composition of metropolitan areas (which may have an effect on the demand for private schooling), these historical religious population densities must majorly affect the schooling supply and must have little or no direct impact on the of public school students’ accomplishments.
Private school choice effects is estimated using regressions wherein either achievement or per student costs is the dependent variable, and the primary independent variable is the fraction of metropolitan area students in private schools. There is control for the same background variables that is used for inter-district choice (mentioned above).
The result shows that private school choice has a positive, statistically significant impact on public schools’ productivity. Also, traditional private school choice does not affect public school expenditures, since rise in the private school choice availability draws some students away from the public schools, increasing per student costs through the decline in the number of pupils served yet lessening per student cost through the reduction in voters who will support higher public school expenditure. Moreover the substantial effect on public schools’ productivity by private school arises purely through an effect on achievement: public schools’ per student costs does not change, but their achievement is higher.[8]

F. Discussion of the Effects of Traditional Forms of School Choice
If every school were to face high degree of inter-district choice and private school choice, in contrast to zero inter-district choice and fairly low private school choice, there would be a 28 percent step up in American school productivity
However, traditional forms of choice offer slightly feeble incentives as opposed to choice reforms such as vouchers and charter schools. Furthermore, many underprivileged families cannot use traditional forms of choice, for instance:
1. A family can only select among districts if it has sufficient funds to live in a range of areas;
2. Traditional private school choice can be practiced only if the family can pay the tuition.
And so, regardless if every United States metropolitan area had the maximum level of traditional forms of choice, underprivileged families are most likely to be left with rather unproductive schools.

VI. The Effect of Recent Choice Reforms on School Productivity

Current choice reforms can only partly answer questions on competition’s effect on productivity. The reforms’ most modern vintage implies that observers are unlikely to see major changes in the supply of schools. In addition, there can be difference between short-term and long-term reactions to choice. Take for example, a typical public school, (that had shown low productivity for years), that has become the target of voucher or charter school competition. That school may possibly, under pressure:
1.      Make striking productivity gains in the short run;
2.      Hastily discard unsuccessful instructional programs or staff;
3.      Quickly move resources into core instructional programs in reading, language, math, history, and science.
However, the productivity increase rate may possible slow down after the first few years as good policy changes become less evident. Then again, even a school that is increasing its productivity might seem to have productivity losses in the short-run if it subjected to adjustment expenses when it makes changes.
In order to learn from recent choice reforms, few principles must be followed:
1. It is essential to study the productivity reactions of regular public schools that are recently facing competition, since their reactions are in much more hesitation than the productivity of choice schools. An unproductive choice school is less apt in entering or even surviving, however opponents of school choice doubt whether typical public schools even have the knowledge or tools needed to enhance their productivity.
2. There is a need to focus on the productivity reactions of regular public schools that experience non-negligible incentives due to a choice reform. This instantly restricts the investigation to a few choice reforms that meet the following requirements:
a. There is a likelihood that no less than five percent of regular public enrollment could attend choice schools,
b. The typical public schools lose some money (may not be the full per-student cost) when a pupil enrolls to a choice school,
c. The reform has been in existence for a few years.
Three reforms that satisfy these basic conditions are:
a. School vouchers in Milwaukee,
b. Charter schools in Michigan, and
c. Charter schools in Arizona.

A. The Effect of Vouchers on Achievement in Milwaukee Public Schools
The results imply that public schools have a strong, positive productivity reaction to competition from vouchers; hence schools facing the most possible competition from vouchers had the best productivity reaction. Furthermore, schools most treated to competition had remarkable productivity enhancements. On the one hand, such productivity growth bursts may actually decelerate after a few more years of competition. Meanwhile, the competition productivity effects may be understated since the school’s control group was a somewhat unfair comparison group having fewer underprivileged and minority pupils.

B. The Effect of Charter Schools on Achievement in Michigan Public Schools
It was observed that as a response, public schools that experience charter competition increased their productivity and achievement, not just beyond their own prior performance but also improving with respect to other Michigan schools not facing charter competition. The enhancements in productivity and achievement seem to arise once charter competition arrives at a critical level that corresponds with the enrollment at which charter schools’ admitting pupils would be easily noticeable (this must not be confused with regular fluctuations in enrollment). In addition, the rise in productivity and achievement is greater and more accurately estimated in fourth grade, possibly because elementary schools experience more competition from charter schools than middle schools did.


C. The Effect of Charter Schools on Achievement in Arizona Public Schools
The results provide conclusions generally analogous to that of Michigan’s. Charter competition concentrated on public schools that initially had achievement and productivity growth below average, but charter competition caused public schools to enhance their productivity and achievement. The improvements are in relation to the schools’ own previous performance and also relative to achievements over the same period, by schools that are not faced with charter competition.

D. Discussion of the Effects of Recent School Choice Reform
All three forms of choice did increase productivity. If all schools were to experience productivity growth rates similar to those in Milwaukee’s most treated schools, American schools might revert to their 1970-71 productivity levels in under a decade.  On one hand, the productivity growth bursts observed in Milwaukee may eventually relax to a lower growth level. On the other hand, several long-term, general equilibrium choice impacts are still not in operation.
Furthermore, if the student is enjoying the success growth rates that pupils in the most treated schools are currently enjoying, that student will “grow out of” the bad distribution effects within a few years, hence, that student will be at an advantage for having experienced vouchers within 5 years of the voucher program.

VII. Conclusions 

This paper presented evidence that implies that school choice productivity effects, must be given importance not only because they potentially alleviate the tensions created by the distribution effects of choice but also because American schools are in a productivity crisis. In order to return the schools to their 1970 productivity levels, policies that improve American schools’ productivity are greatly needed.
Meanwhile, schools that experiences choice-driven incentives can be encouraged to increase their productivity. In addition, traditional forms of choice also raise school productivity, specifically, if all schools in the United States are faced with high levels of the traditional forms of choice, school productivity could be as much as 28 percent higher than it is currently.
Moreover, typical public schools raised their productivity when presented with competition. In all cases the typical public schools increased productivity by raising achievement, and not by reducing spending while maintaining achievement. Such achievement-oriented reaction may, somewhat be related to the actual reforms’ attributes.
Overall, it appears safe to conclude that studies that disregard the productivity impacts of choice are prone to be deceptive. The main effects of choice may be improvements in productivity.



Source:
Caroline M. Hoxby, “School Choice and School Productivity (or Could School Choice be a Tide that Lifts All Boats?” NBER Working Paper 8873, (April 2002).


[1] Hoxby (2002).
[2]
    
    
  
[5]  
    
[6] The mechanism does not work with intra-district choice.
[7]
   

[8] A public school in a metropolitan area having moderately high private school choice in contrast to moderately low private school choice, observes higher scores. 

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