Question

5. Use the following table to complete the ANOVA table below for a within subjects one-way ANOVA with 6 participants who were measured on the same variable (x) following 4 different treatments: | X1 | X1^2 | X2 | X2^2 | X3 | X3^2 | X4 | X4^2 | ?P | |---|---|---|---|---|---|---|---|---| | 3 | | 4 | | 2 | | 6 | | | | 2 | | 3 | | 3 | | 7 | | | | 3 | | 3 | | 2 | | 4 | | | | 4 | | 3 | | 3 | | 5 | | | | 3 | | 4 | | 2 | | 5 | | | | 3 | | 4 | | 2 | | 4 | | | | ?x1 = | | ?x2 = | | ?x3 = | | ?x4 = | | ?xT = | | | ?x1^2 = | | ?x2^2 = | | ?x3^2 = | | ?x4^2 = | ?xT^2 = | ANOVA Table | | SS | df | MS | F | |---|---|---|---|---| | Between Groups | | | | | | Between Persons | | | | | | Within Groups | | | | -- | | Total | | | -- | -- | Do we retain or reject the null hypothesis? Substantively interpret this decision. If significant, calculate the effect size and interpret. What would be our next step if we wanted to determine which pairs of means were statistically significantly different?

          5. Use the following table to complete the ANOVA table below for a within subjects one-way ANOVA with 6 participants who were measured on the same variable (x) following 4 different treatments:

| X1 | X1^2 | X2 | X2^2 | X3 | X3^2 | X4 | X4^2 | ?P |
|---|---|---|---|---|---|---|---|---|
| 3 | | 4 | | 2 | | 6 | | |
| 2 | | 3 | | 3 | | 7 | | |
| 3 | | 3 | | 2 | | 4 | | |
| 4 | | 3 | | 3 | | 5 | | |
| 3 | | 4 | | 2 | | 5 | | |
| 3 | | 4 | | 2 | | 4 | | |
| ?x1 = | | ?x2 = | | ?x3 = | | ?x4 = | | ?xT = |
| | ?x1^2 = | | ?x2^2 = | | ?x3^2 = | | ?x4^2 = | ?xT^2 = |

ANOVA Table
| | SS | df | MS | F |
|---|---|---|---|---|
| Between Groups | | | | |
| Between Persons | | | | |
| Within Groups | | | | -- |
| Total | | | -- | -- |

Do we retain or reject the null hypothesis? Substantively interpret this decision. If significant, calculate the effect size and interpret.

What would be our next step if we wanted to determine which pairs of means were statistically significantly different?

5. Use the following table to complete the ANOVA table below for a within subjects one-way ANOVA with 6 participants who were measured on the same variable (x) following 4 different treatments:

| X1 | X1^2 | X2 | X2^2 | X3 | X3^2 | X4 | X4^2 | ?P |
|—|—|—|—|—|—|—|—|—|
| 3 | | 4 | | 2 | | 6 | | |
| 2 | | 3 | | 3 | | 7 | | |
| 3 | | 3 | | 2 | | 4 | | |
| 4 | | 3 | | 3 | | 5 | | |
| 3 | | 4 | | 2 | | 5 | | |
| 3 | | 4 | | 2 | | 4 | | |
| ?x1 = | | ?x2 = | | ?x3 = | | ?x4 = | | ?xT = |
| | ?x1^2 = | | ?x2^2 = | | ?x3^2 = | | ?x4^2 = | ?xT^2 = |

ANOVA Table
| | SS | df | MS | F |
|—|—|—|—|—|
| Between Groups | | | | |
| Between Persons | | | | |
| Within Groups | | | | – |
| Total | | | – | – |

Do we retain or reject the null hypothesis? Substantively interpret this decision. If significant, calculate the effect size and interpret.

What would be our next step if we wanted to determine which pairs of means were statistically significantly different?

Added by Kristen M.

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