The chi-square test: its use in rehabilitation research

Arch Phys Med Rehabil. 1995 Jul;76(7):678-81. doi: 10.1016/s0003-9993(95)80639-3.

Abstract

Objective: This report examines the impact of collecting and analyzing sequential data from the same sample using the chi-square test. Researchers in rehabilitation frequently analyze categorical data collected repeatedly from the same sample.

Design: Simulations were conducted using the chi-square test to analyze data with correlations between pretest and posttest ranging from .20 to .80. The simulations were analyzed using the standard chi-square based on a 2 x 2 contingency table.

Results: An incidence of type 1 errors of approximately .30 for an expected alpha of .05 was found when the correlation (serial dependence) between pretest and posttest was high (phi = .80). For simulations using an alpha = .01, the type 1 error rate was .18 for data with substantial correlation (phi = .80).

Conclusion: Rehabilitation researchers who use the chi-square test with data collected repeatedly from the same sample risk committing a type 1 error and misinterpreting their results. Alternatives to the standard chi-square test, such as McNemar's test, should be considered when correlated data are analyzed using a 2 x 2 contingency table.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Chi-Square Distribution*
  • Data Interpretation, Statistical
  • Humans
  • Rehabilitation*
  • Research*