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In this discussion answer the following questions 1) In conducting an Analysis of Variance Test what...

In this discussion answer the following questions

1) In conducting an Analysis of Variance Test what are we actually testing?

2) What are the main requirement for the test.

3) Which of those requirement do you think is the most difficult to established.

Math   Statistics-And-Probability   
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Answer #1

1)Analysis of variance is a statistical method used to test differences between two or more means. It may seem odd that the technique is called "Analysis of variance" rather than " Analysis of means".

As we will see the name is appropriate because inferences about means are made by analysing variance.

2) Main Requirements or Assumptions:

  1. The experimental errors of our data are normally distributed
  2. Equal variances between treatment. means homogeneity variances- homoscadasticity
  3. Independence of samples each sample is randomly selected and independent.

3) It is difficult to analyse ANOVA under strict assumptions regarding the nature of data.

It provides no additional information as compared to t test.

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