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a. What are the three assumptions of one-way ANOVA? b. Create your own study that would...

a. What are the three assumptions of one-way ANOVA?

b. Create your own study that would need an ANOVA and describe it.

-What are the dependent and independent variables?

-What are the levels or values of the independent variables?

Math   Statistics-And-Probability   
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Answer #1

a) The three assumptions of one-way ANOVA are -

  • Normality – That each sample is taken from a normally distributed population
  • Sample independence – that each sample has been drawn independently of the other samples
  • Variance Equality – That the variance of data in the different groups should be the same

b) Situation : You have a group of individuals randomly split into smaller groups and completing different tasks. For example, you might be studying the effects of tea on weight loss and form three groups: green tea, black tea, and no tea.

Dependent variable - weight loss

Independent variable - effect of tea

The levels of the independent variables - green tea, black tea, and no tea

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