The researchers mentioned in Exercise 2 measured the participants€™ memory for picture content with a recall test. The recall test scores are shown in the table below. Use this information to answer these questions.

OUTCOME OF TWO-FACTOR EXPERIMENT
COGNITIVE STYLE × PICTURE COLOR
(Memory Test Score)

1. Calculate df_total.

2. Calculate df_column.

3. Calculate df_row.

4. Calculate df_interaction.

5. Calculate df_within.

6. Identify the critical F value for the picture color main effect using a significance level of .05. Refer to Table C in your textbook.

 

7. Identify the critical F value for the cognitive style main effect using a significance level of .05.

8. Identify the critical F value for the picture color by cognitive style interaction using a significance level of .05.

9. Calculate the mean for the Analytical/Realistic Color cell.

10. Calculate the mean for the Global/Realistic Color cell.

11. Calculate the mean for the Analytical/Black-and-White cell.

12. Calculate the mean for the Global/Black-and-White cell.

Data from exercise 2

A researcher is investigating the effects of cognitive style and picture color on memory for picture content. Cognitive style has two levels: Analytical and Global. Picture color also has two levels: Realistic color and black-and-white. Present the null and alternative hypotheses for the two main effects and for the interaction.

Transcribed Image Text:

PICTURE COLOR Realistic Color Black-and-White Row mean COGNITIVE STYLE Analytical 12 13 10.875 11 11 11 11 10 Global 13 8.5 10 10 4 Column mean 10.5 8.875 9.6875 Table C CRITICAL VALUES OF F FINDING p-VALUE If observed F is ..smaller than light number, p> .05 ..between light and dark numbers, p< .05 ..larger than dark number, p <.01 terit .05 level of significance (light numbers) .01 level of significance (dark numbers) DEGREES OF FREEDOM IN NUMERATOR DEGREES OF FREEDOM IN DENOMI- NATOR 10 11 12 244 14 16 246 20 248 100 253 6,302 6,323 6,334 6,352 6,361 6,366 24 30 40 50 75 200 500 161 200 241 242 4,052 4,999 5,403 5,625 5,764 5,859 5,928 5,981 6,022 6,056 6,082 6,106 6,142 6,169 6,208 6,234 6,258 6,286 216 225 230 234 237 239 243 245 249 250 251 252 253 254 254 254 19.33 98.49 99.00 99.17 99.25 99.30 99.33 99.34 99.36 99.38 99.40 99.41 18.51 19.00 19.16 19.25 19.30 19.36 19.37 19.38 19.39 19.40 19.41 99.42 99.43 99.44 99.45 99.46 99.47 99.48 19.42 19.43 19.44 19.45 19.46 19.47 19.47 19.48 99.49 19,49 99.49 99.49 99.50 99.50 19.49 19.50 19.50 99.48 9.12 34.12 30.82 29.46 28.71 10.13 9.55 9.28 9.01 8.94 28.24 27.91 8.88 8.74 8.71 27.67 27.49 27.34 27.23 27.13 27.05 26.92 26.83 26.69 26.60 26.50 26.41 8.84 8.81 8.78 8.76 8.69 8.66 8.64 8.62 В. БО 8.58 8.56 8.53 26.35 26.27 26.23 26.18 26.14 23.12 B.57 8.54 8.54 6.59 21.20 18.00 16.69 15.98 15.52 15.21 6.09 14.98 14.80 14.66 14.54 14.45 7.71 6.94 6.39 6.26 6.16 6.04 6.00 5.96 5.93 5.91 14.37 5.87 14.24 5.80 14.15 14.02 13.93 5.84 5.77 5.74 13.83 13.74 5.70 13.69 5.68 13.61 5.66 13.57 5.71 5.65 5.64 5.63 13.52 13.48 13.46 5.19 5.41 16.26 13.27 12.06 11.39 10.97 6.61 5.79 5.05 4.95 4.88 4.82 10.45 10.27 10.15 4,78 4.74 10.05 4.70 9.96 4.68 4.64 4.60 4.56 4.53 4.50 9.38 4.44 4.42 4.46 9.29 4.40 9.13 4.38 9.07 4.37 9.04 4.36 9.02 10.67 9.89 9.77 9.68 9.55 9.47 9.24 9.17 5.99 13.74 10.92 5.14 4.76 4.53 9.15 4.39 8.75 4.28 8.47 4.21 8.26 4.15 4.10 4.06 4.03 4.00 7.72 3.96 7.60 3.92 7.52 3.87 7.39 3.84 7.31 3.81 7.23 3.75 7.09 3.77 3.72 3.71 3.69 3.68 6.90 3.67 6.88 9.78 8.10 7.98 7.87 7.79 7.14 7.02 6.99 6.94 5.59 12.25 3.79 7.00 4.47 4.35 4.12 3.97 7.46 3.87 7.19 3.73 6.84 3.68 6.71 3.63 6.62 3.60 3.57 3.52 6.35 3.49 6.27 3.44 6.15 3.41 6.07 3.38 5.98 3.34 5.90 3.32 5.85 3.29 5.78 3.28 5.75 3.25 5.70 3.24 3.23 9.55 8.45 7.85 6.54 6.47 5.67 5.65 5.32 4.46 8.65 4.07 7.59 3.84 7.01 3.58 6.37 3.69 3.50 6.19 3.44 6.03 3.39 5.91 3.34 5.82 3.31 5.74 3.28 5.67 3.23 5.56 3.20 3.15 3.12 5.28 3.08 5.20 3.05 5.11 3.03 5.06 3.0 5.00 2.98 4.96 2.96 4.91 2.93 4.86 2.94 11.26 6.63 5.48 5.36 4.88 5.12 10.56 4.26 3.86 3.63 6.42 3.48 6.06 3.37 5.80 3.29 5.62 3.23 3.18 3.13 5.26 3.10 5.18 3.07 5.11 3.02 5.00 2.98 4.92 2.93 4.80 2.90 2.86 2.82 2.80 2.77 2.76 2.73 4.36 2.72 4.33 2.71 4.31 8.02 6.99 5.47 5.35 4.73 4.64 4.56 4.51 4.45 4.41 10 4.96 10.04 4.10 7.56 3.71 6.55 3.48 3.33 3.22 3.14 5.21 3.07 5.06 3.02 4.95 2.97 4.85 2.94 4.78 2.91 2.86 2.82 2.77 2.74 4.33 2.70 4.25 2.67 2.64 4.12 2.61 4.05 2.59 2.56 2.55 2.54 5.99 5.64 5.39 4.71 4.60 4.52 4.41 4.17 4.01 3.96 3.93 3.91 11 4.84 3.98 7.20 3.59 6.22 3.36 5.67 3.20 5.32 3.09 5.07 3.01 4.88 2.95 2.90 4.63 2.86 4.54 2.82 4.46 2.79 4.40 2.74 4.29 2.70 4.21 2.65 2.61 2.57 2.53 3.86 2.50 2.47 2.45 2.42 3.66 2.41 3.62 2.40 3.60 9.65 4.74 4.10 4.02 3.94 3.80 3.74 3.70 12 4.75 3.88 6.93 2.54 3.86 3.49 3.26 3.11 3.00 4.82 2.92 4.65 2.85 4.50 2.80 4.39 2.76 2.72 2.69 2.64 4.05 2.60 3.98 2.50 3.78 2.46 3.70 2.40 3.56 2.36 3.49 2.35 3.46 2.31 2.42 2.30 2.32 3.41 9.33 5.95 5.41 5.06 4.30 4.22 4.16 3.61 3.38 3.36 13 4.67 9.07 3.80 6.70 2.72 4.19 3.41 3.18 5.20 2.92 4.62 2.67 4.10 3.02 2.84 2.77 2.63 4.02 2.60 3.96 2.55 3.85 2.51 2.46 2.42 3.59 2.38 3.51 2.34 3.42 2.32 3.37 2.28 3.30 2.26 3.27 2.24 3.21 2.22 3.18 2.21 3.16 5.74 4.86 4.44 4.30 3.78 3.67 EN ni ni ni ni 2+24 2423.