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125:. If sphericity is not met, then epsilon will be less than 1 (and the degrees of freedom will be overestimated and the F-value will be inflated). To correct for this inflation, multiply the Greenhouse–Geisser estimate of epsilon to the degrees of freedom used to calculate the F critical value.
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An alternative correction that is believed to be less conservative is the Huynh–Feldt correction (1976). As a general rule of thumb, the
Greenhouse–Geisser correction is the preferred correction method when the epsilon estimate is below 0.75. Otherwise, the
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Greenhouse, S. W.; Geisser, S. (1959). "On methods in the analysis ofprofile data".
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92:{\displaystyle {\widehat {\varepsilon }}}
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220:. John Wiley & Sons. p. 84.
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193:. SAGE Publications. p. 461.
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190:Discovering Statistics Using SPSS
148:Multivariate analysis of variance
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214:J. P. Verma (21 August 2015).
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118:{\displaystyle \varepsilon =1}
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143:Mauchly's sphericity test
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176:: 95–112.
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