What is the analysis of variance.Interpret results

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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What is the analysis of variance.Interpret results 

11.2 Another aspect of the study by Eysenck (1974), referred to in Exercise 11.1, compared
Younger and Older subjects on their ability to recall material in the face of instructions tell-
ing them that they would be asked to memorize the material for later recall-the Intentional
group. (Presumably this task required a high level of processing.) The data follow, where
the dependent variable is the number of items recalled.
22
18
Younger:
Older:
21
19
17
15
22
16
22
21
10
19
14
5
10
11
14
15
11
11
Transcribed Image Text:11.2 Another aspect of the study by Eysenck (1974), referred to in Exercise 11.1, compared Younger and Older subjects on their ability to recall material in the face of instructions tell- ing them that they would be asked to memorize the material for later recall-the Intentional group. (Presumably this task required a high level of processing.) The data follow, where the dependent variable is the number of items recalled. 22 18 Younger: Older: 21 19 17 15 22 16 22 21 10 19 14 5 10 11 14 15 11 11
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Step 1

The analysis of variance is a statistical tool which splits the overall or aggregate variability in two parts namely random error and systematic error or it can be said that ANOVA is used to determine the variability between and within the treatment groups.

The following are the assumptions while performing ANOVA :

- The population from where the sample was drawn is normal.

- The observations are independent with one another and with random error term.

- The random term ε follows standard normal distribution with mean zero and variance σ2.

- The error term is homoscedastic i.e same variance for all observations.

The  variability is divided as :

TSS =SSB+ SSw

 

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