Quiz. Two-Way ANOVA Times in minutes for completing a marathon are given in the

Question

Quiz. Two-Way ANOVA Times in minutes for completing a marathon are given in the table below. 20-29 227 313 238 182 201 273 237 257 255 30-39 40+ 245 268 235 274 347 256 280 251 272 242 249 250 369 288 423 311 251 201 294 1. Complete the table for the Two-way Analysis of Variance. Round off SS and MS values to 1 decimal place. Round off F to 3 decimals Source df MS Gender Age Interaction Within Total 2. Find the critical values using a 0.05 significance level and write your conclusions 4248.3 25586.6 5833.8 24 95789.5 about the three tests.

Explanation / Answer

1. From the given table

2. P-value of Gender is 0.2052 > alpha 0.05, there is no significance difference among the levels of Gender

P-value of Age is 0.01419 < alpha 0.05, there is significance difference among the levels of Age

P-value of Interaction is 0.329 > alpha 0.05,  there is no significance difference between the interaction of age and gender

Source df Sum of square mean Square F-ratio F-critical P-value Gender 1 4248.3 4248.3 1.695906 4.259677 0.205183947 Age 2 25586.6 12793.3 5.107038 3.402826 0.014193097 Interaction 2 5833.8 2916.9 1.164416 3.402826 0.329121248 Error 24 60120.8 2505.033333 Total 29 95789.5

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