3. Two-Way Tables and Probability
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Divide each joint frequency by the grand total to obtain the joint relative frequencies. Divide each marginal frequency by the grand total to obtain the marginal relative frequencies.
Gender | |||
---|---|---|---|
Experience | Male | Female | Total |
Expert | 0.151 | 0.015 | 0.166 |
Average | 0.671 | 0.058 | 0.729 |
Novice | 0.098 | 0.007 | 0.105 |
Total | 0.920 | 0.080 | 1 |
Gender | |||
---|---|---|---|
Experience | Male | Female | Total |
Expert | 62 | 6 | 68 |
Average | 275 | 24 | 299 |
Novice | 40 | 3 | 43 |
Total | 377 | 33 | 410 |
We want to use this table to construct a two-way table that shows the joint and marginal relative frequencies. To do so, we will divide each joint frequency by the grand total to obtain the joint relative frequencies. Similarly, we will divide each marginal frequency by the grand total to obtain the marginal relative frequencies.
Gender | |||
---|---|---|---|
Experience | Male | Female | Total |
Expert | 62/410 ≈ 0.151 | 6/410 ≈ 0.015 | 68/410 ≈ 0.166 |
Average | 275/410 ≈ 0.671 | 24/410 ≈ 0.058 | 299/410 ≈ 0.729 |
Novice | 40/410 ≈ 0.098 | 3/410 ≈ 0.007 | 43/410 ≈ 0.105 |
Total | 377/410 ≈ 0.920 | 33/410 ≈ 0.080 | 410/410 = 1 |