On the Size Distortion of a Test for Equality between the ATE and FE Estimands

This note investigates the numerical performance of an existing asymptotic test for the null hypothesis of equality between the average treatment effect (ATE) and the group fixed-effect (FE) estimands based on the standardized difference between ATE and FE estimators. It shows that this test has a size distortion. This distortion has implications to empirical economic research. It can lead to erroneously confirm the relevance of heterogeneous responses to policy interventions.

Reversibilität von Paarformeln und Binomialen: Methodologische Aspekte

In the paper two statistical methods are presented for the analysis of the reversibility of the component order in binomials (conjoined expressions, freezes). Based on the frequency of binomials, occurring in variable component order, a binomial test and an asymptotic test is applied to give statistical evidence of the significance of the reversibility. By the means of these two tests in a sample of Slovene binomials the group of conditionally irreversible binomials is obtained.

Statistical Tests for the Reciprocal of a Normal Mean with a Known Coefficient of Variation

An asymptotic test and an approximate test for the reciprocal of a normal mean with a known coefficient of variation were proposed in this paper. The asymptotic test was based on the expectation and variance of the estimator of the reciprocal of a normal mean. The approximate test used the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the two statistical tests. Simulation results showed that the two proposed tests performed well in terms of empirical type I errors and power. Nevertheless, the approximate test was easier to compute than the asymptotic test.

Conditional and Unconditional Tests (and Sample Size) Based on Multiple Comparisons for Stratified 2 × 2 Tables

The Mantel-Haenszel test is the most frequent asymptotic test used for analyzing stratified 2×2 tables. Its exact alternative is the test of Birch, which has recently been reconsidered by Jung. Both tests have a conditional origin: Pearson’s chi-squared test and Fisher’s exact test, respectively. But both tests have the same drawback that the result of global test (the stratified test) may not be compatible with the result of individual tests (the test for each stratum). In this paper, we propose to carry out the global test using a multiple comparisons method (MC method) which does not have this disadvantage. By refining the method (MCB method) an alternative to the Mantel-Haenszel and Birch tests may be obtained. The new MC and MCB methods have the advantage that they may be applied from an unconditional view, a methodology which until now has not been applied to this problem. We also propose some sample size calculation methods.