To answer the questions in this exercise, refer to the partial ANOVA summary table shown below.

1. Calculate SS_within.

2. Calculate df_total.

3. Calculate observed F.

4. How many groups of research participants were included in the analysis?

5. What was the total number of research participants across all groups?

6. If the research participants were assigned to groups in equal numbers, how many participants were in each group?

7. Identify the critical F value in Table C for alpha equal to .05.

 

8. Is the observed F ratio statistically significant?

9. Calculate the proportion of explain variance using η².

Transcribed Image Text:

MS df SOURCE Between 3 23.57 7.86 Within Total 24 .95 46.43 3. 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.