Input Aggregation in Models of Data Envelopment Analysis: A Statistical Test with an Application to Indian Manufacturing

A problem frequently encountered in Data Envelopment Analysis (DEA) is that the total number of inputs and outputs included tend to be too many relative to the sample size. One way to counter this problem is to combine several inputs (or outputs) into (meaningful) aggregate variables reducing thereby the dimension of the input (or output) vector. A direct effect of input aggregation is to reduce the number of constraints. This, in its turn, alters the optimal value of the objective function. In this paper, we show how a statistical test proposed by Banker (1993) may be applied to test the validity of a specific way of aggregating several inputs. An empirical application using data from Indian manufacturing for the year 2002-03 is included as an example of the proposed test.

The Devil’s Calculus: Mathematical Models of Civil War

In spite of the movement to turn political science into a real science, various mathematical methods that are now the staples of physics, biology, and even economics are thoroughly uncommon in political science, especially the study of civil war. This study seeks to apply such methods - specifically, ordinary differential equations (ODEs) - to model civil war based on what one might dub the capabilities school of thought, which roughly states that civil wars end only when one side’s ability to make war falls far enough to make peace truly attractive. I construct several different ODE-based models and then test them all to see which best predicts the instantaneous capabilities of both sides of the Sri Lankan civil war in the period from 1990 to 1994 given parameters and initial conditions. The model that the tests declare most accurate gives very accurate predictions of state military capabilities and reasonable short term predictions of cumulative deaths. Analysis of the model reveals the scale of the importance of rebel finances to the sustainability of insurgency, most notably that the number of troops required to put down the Tamil Tigers is reduced by nearly a full order of magnitude when Tiger foreign funding is stopped. The study thus demonstrates that accurate foresight may come of relatively simple dynamical models, and implies the great potential of advanced and currently unconventional non-statistical mathematical methods in political science.

Achieving Universal Primary Education: Can Kenya Afford it?

Kenya has experienced a rapid expansion of the education system partly due to high government expenditure on education. Despite the high level of expenditure on education, primary school enrolment has been declining since early 1990s and until 2003 when gross primary school enrolment increased to 104 percent after the introduction of free primary education. However, with an estimated net primary school enrolment rate of 77 percent, the country is far from achieving universal primary education. The worrying scenario is that the allocations of resources within the education sector seems to be ineffective as the increasing expenditure on education goes to recurrent expenditure (to pay teachers salaries). Kenya's Poverty Reduction Strategy Paper (PRSP) and the Economic Recovery Strategy for wealth and Employment Creation (ERS) outlines education targets of reaching universal primary education by 2015. The Government is faced with budget constrains and therefore the available resources need to be allocated efficiently in order to realize the education targets. The paper uses Budget Negotiation Framework (BNF) to analyze the cost effective ways of resource allocation in the primary education sector to achieve universal primary education and other education targets. Budget Negotiation Framework is a tool that aims at achieving equity and efficiency in resource allocation. Results from the analysis shows that universal primary education by the year 2015 is a feasible target for Kenya. The results also show that with a more cost- effective spending of education resources - increased trained teachers, enhanced textbook supplies and subsidies targeting the poor - the country could realize higher enrolment rates than what has been achieved with free primary education.