 # BookRiff

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## What does it mean if Greenhouse-Geisser is significant?

The Greenhouse-Geisser is used to assess the change in a continuous outcome with three or more observations across time or within-subjects. In most cases, the assumption of sphericity is violated for this type of within-subjects analysis and the Greenhouse-Geisser correction is robust to the violation.

### What does Greenhouse-Geisser correction?

The Greenhouse–Geisser correction is a statistical method of adjusting for lack of sphericity in a repeated measures ANOVA. The correction functions as both an estimate of epsilon (sphericity) and a correction for lack of sphericity. The correction was proposed by Samuel Greenhouse and Seymour Geisser in 1959.

#### Should I use Greenhouse-Geisser or Huynh Feldt?

Generally, the recommendation is to use the Greenhouse-Geisser correction, especially if estimated epsilon (ε) is less than 0.75. However, some statisticians recommend using the Huynd-Feldt correction if estimated epsilon (ε) is greater than 0.75.

What does a significant Mauchly’s test tell us?

Mauchly, Mauchly’s test of sphericity is a popular test to evaluate whether the sphericity assumption has been violated. ), sphericity cannot be assumed and we would therefore conclude that there are significant differences between the variances of the differences.

What does it mean if Mauchly’s test of sphericity is significant?

→ If Mauchly’s test statistic is significant (i.e. has a probability value less than . 05) we conclude that there are significant differences between the variance of differences: the condition of sphericity has not been met.

## How do you know if Mauchly’s test is significant?

Assessing the Severity of Departures from Sphericity → If Mauchly’s test statistic is significant (i.e. has a probability value less than . 05) we conclude that there are significant differences between the variance of differences: the condition of sphericity has not been met.

### What does the Mauchly’s sphericity test test?

Mauchly’s sphericity test or Mauchly’s W is a statistical test used to validate a repeated measures analysis of variance (ANOVA). It was developed in 1940 by John Mauchly.

#### Why is Mauchly’s test of sphericity used?

Mauchly’s sphericity test or Mauchly’s W is a statistical test used to validate a repeated measures analysis of variance (ANOVA).

How do I report Mauchly’s test of sphericity?

In other words the assumption of sphericity has been violated. We could report Mauchly’s test for these data as: → Mauchly’s test indicated that the assumption of sphericity had been violated, χ2(5) = 11.41, p = . 047.

How do you interpret sphericity?

The degree to which sphericity is present, or not, is represented by a statistic called epsilon (ε). An epsilon of 1 (i.e., ε = 1) indicates that the condition of sphericity is exactly met. The further epsilon decreases below 1 (i.e., ε < 1), the greater the violation of sphericity.

## How do I report Mauchly’s sphericity?

Simple Effects Output I – Mauchly’s Test Epsilon is the Greek letter e written as ε. It estimates to which extent sphericity holds. For this example, ε = 0.840 -a modest violation of sphericity. If ε > 0.75, we report the Huyn-Feldt corrected results as shown below.

### Can a linear regression be done with SPSS Statistics?

This will change the output that SPSS Statistics produces and reduce the predictive accuracy of your results. Fortunately, when using SPSS Statistics to run a linear regression on your data, you can easily include criteria to help you detect possible outliers.

#### How are income and price variables used in SPSS Statistics?

The salesperson wants to use this information to determine which cars to offer potential customers in new areas where average income is known. In SPSS Statistics, we created two variables so that we could enter our data: Income (the independent variable), and Price (the dependent variable).

Which is an assumption to check when using SPSS Statistics?

Assumption #4: You should have independence of observations, which you can easily check using the Durbin-Watson statistic, which is a simple test to run using SPSS Statistics. We explain how to interpret the result of the Durbin-Watson statistic in our enhanced linear regression guide.

When to use a regression table in statistics?

In statistics, regression is a technique that can be used to analyze the relationship between predictor variables and a response variable. When you use software (like R, SAS, SPSS, etc.) to perform a regression analysis, you will receive a regression table as output that summarize the results of the regression.