Multiple comparisons in two-factor testing of psychophysical thresholds by the delta test method

Abstract

We propose an algorithm of multiple comparisons in two-factor testing of psychophysical thresholds. We use logistic regression combined with guessing rate and adopt the step-down procedure with Ryan–Einot–Gabriel–Welsch (REGW) significance levels for multiple test. We test hypotheses of main effects and interaction in two-factor problem by using the delta test statistics.

Keywords:

• Delta test statistics
• Multiple comparisons
• REGW significance levels
• Step-down procedure
• Two-factor testing

Mathematics Subject Classification:

• 62J15
• 62P10

Acknowledgements

The authors are very grateful to the referees for their very helpful comments.