Two-Way ANOVA The pulse rates in Table 12-3 from Example 1 are reproduced below with fabricated data (in red) used for the pulse rates of females aged 30–49. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is “two-way” about the data entered in this table?

	Female											Male
18-29	104	82	80	78	80	84	82	66	70	78	72		64	72	64	64	70	72
30-49	46	54	76	66	78	68	62	52	60	60	80		90	58	74	96	72	58
50-80	94	72	82	86	72	90	64	72	72	100	54		102	52	52	62	82	82

Data are given on the pulse rates of men and women. It is further classified according to three different age groups: 18-29, 30-49, and 50-80.

A two-way analysis of variance is conducted for a set of data that consists of values that differ on two different categories.

It helps to assess the difference in the mean values due to the row category, the difference in the mean values due to the column category, and the difference in the mean values due to the interaction effect between categories 1 (row) and 2 (columns).

Here, the pulse rates are divided into two broad categories: gender and age.

Therefore, an analysis of variance that can take into effect both the categories will be the most appropriate method of analysis.

Thus, a two-way analysis of variance will be the most appropriate as the values are categorized into two factors of age and gender.