Calculate the Repeated Measures ANOVA using the following data. Trial 1 Trial 2 Trial 3 643 469 484 655 427 456 702 525 402

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need to know what x-bar, SS, Σx2 and so that I can solve the problem. I already know what T, n, k, N, and G are.

Calculate the Repeated Measures ANOVA using the following data.
Trial 1
Trial 2
Trial 3
643
469
484
655
427
456
702
525
402
Transcribed Image Text:Calculate the Repeated Measures ANOVA using the following data. Trial 1 Trial 2 Trial 3 643 469 484 655 427 456 702 525 402
Expert Solution
Step 1

Obtain the mean value (x-bar) for each of the 3 treatments:

The value of x-bar for trial 1 is obtained as given below:

Statistics homework question answer, step 1, image 1

Thus, the value of x-bar for trail-1 is 666.6667.

The value of x-bar for trial 2 is obtained as given below:

Statistics homework question answer, step 1, image 2

Thus, the value of x-bar for trail-2 is 473.6667.

The value of x-bar for trial 3 is obtained as given below:

Statistics homework question answer, step 1, image 3

Thus, the value of x-bar for trail-3 is 447.3333.

Step 2

Obtain the value of sum of squares (SS) for each of the 3 treatments:

The value of sum of squares (SS) for trial 1 is obtained as given below:

Statistics homework question answer, step 2, image 1

Thus, the value of sum of squares (SS) for trial 1 is SS1 = 1,944.6667.

The value of sum of squares (SS) for trial 2 is obtained as given below:

Statistics homework question answer, step 2, image 2

Thus, the value of sum of squares (SS) for trial 2 is SS2 = 4,834.6667.

The value of sum of squares (SS) for trial 3 is obtained as given below:

Statistics homework question answer, step 2, image 3

Thus, the value of sum of squares (SS) for trial 3 is SS3 = 3,474.6667.

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