Regarding one-way ANOVA, fill in the blanks in each of Exercises 13.15-13.17
13.16 A measure of variation within the samples is called the--------

The mathematical abbreviation for it is----------

Short Answer

Expert verified

A measure of variation within the samples is called the Error mean square.

The mathematical abbreviation is MSE.

Step by step solution

01

Given information

To find that a measure of variation within the samples stands and find the mathematical abbreviation.

02

Explanation

The deviation within the sample means is referred to as error mean square (MSE).
That is, the (n-k) divides the error sum squares.
MSE=SSEn-kis the formula for MSE.

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Most popular questions from this chapter

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On page 539, we discussed how to use summary statistics (sample sizes, sample means, and sample standard deviations) to conduct a one-way ANOVA.

a. Verify the formula presented there for obtaining the mean of all the observations, namely,

x¯=n1x¯1+n2x¯2++nkx¯kn1+n2++nk.

b. Show that, if all the sample sizes are equal, then the mean of all the observations is just the mean of the sample means.

c. Explain in detail how to obtain the value of the F-statistic from the summary statistics.

13.18 Explain the logic behind one-way ANOVA.

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