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In: Statistics and Probability

The calculations for a factorial experiment involving four levels of factor A, three levels of factor...

The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 298, SSA = 24, SSB = 21, SSAB = 195.

  1. Set up the ANOVA table and test for significance using  = .05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "0".
    Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
    Factor A
    Factor B
    Interaction
    Error
    Total

  2. The p-value for Factor A is = less than .01, between .01 and .02, between .02 and .05, between .05 and .10. greater than .10?

    What is your conclusion with respect to Factor A?
    Factor A is significant OR Factor A is not significant
  3. The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23

    What is your conclusion with respect to Factor B?
    Factor B is significant OR Factor B is not significant
  4. The p-value for the interaction of factors A and B is = less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10?

    What is your conclusion with respect to the interaction of Factors A and B?

Solutions

Expert Solution

Answer: The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data:

SST = 298, SSA = 24, SSB = 21, SSAB = 195.

Solution:

orchestra answered 1 year ago
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