The Greenhouse-Geisser estimate of sphericity has a maximum value of what, indicating perfect sphericity?

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Multiple Choice

The Greenhouse-Geisser estimate of sphericity has a maximum value of what, indicating perfect sphericity?

Explanation:
Greenhouse-Geisser epsilon gauges how closely sphericity holds in a repeated-measures design. The value can range from 1/(k−1) up to 1, where k is the number of within-subject levels. A value of 1 means perfect sphericity: the variances of the differences between all pairs of level means are equal, so the original (uncorrected) degrees of freedom for the F tests are appropriate. If epsilon is less than 1, the degrees of freedom are multiplied by epsilon to correct for the violation. So the maximum value, indicating perfect sphericity, is 1.

Greenhouse-Geisser epsilon gauges how closely sphericity holds in a repeated-measures design. The value can range from 1/(k−1) up to 1, where k is the number of within-subject levels. A value of 1 means perfect sphericity: the variances of the differences between all pairs of level means are equal, so the original (uncorrected) degrees of freedom for the F tests are appropriate. If epsilon is less than 1, the degrees of freedom are multiplied by epsilon to correct for the violation. So the maximum value, indicating perfect sphericity, is 1.

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