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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鈥49. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is 鈥渢wo-way鈥 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

Short Answer

Expert verified

As the data is categorized on two factors, namely, age and gender, a two-way analysis of variance is the most appropriate method of analysis.

Step by step solution

01

Given information

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.

02

Two-way analysis of variance

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).

03

“Two-way” characteristic of the given data

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.

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