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Cola Weights The displayed results from Exercise 1 are from one-way analysis of variance. What is it about this test that characterizes it as one-way analysis of variance instead of two-way analysis of variance?

Short Answer

Expert verified

As the mean weights of the cans are categorized on only one factor, that is, the type of cola, the analysis of variance test is called the one-way analysis of variance test.

Step by step solution

01

Given information

An analysis of variance test is conducted to test the difference in the mean weights of the four samples of cola.

02

Describe the one-way and two-way analyses of variance

The term 鈥榝actor鈥 refers to the independent variables of the study. Depending on the number of factors used to categorize the variable under study, the test for the comparison of three or more group means is referred to as a one-way or two-way analysis of variance.

  • In an analysis of variance test, if the sample values are categorized based on only one factor, it is called the one-way analysis of variance test.
  • In an analysis of variance test, if the sample values are categorized on two factors, it is called the two-way analysis of variance test.
  • The term 鈥榝actor鈥 refers to the independent variables of the study. Depending on the number of factors used to categorize the variable under study, the test for the comparison of three or more group means is referred to as a one-way or two-way analysis of variance.
    • In an analysis of variance test, if the sample values are categorized based on only one factor, it is called the one-way analysis of variance test.
    • In an analysis of variance test, if the sample values are categorized on two factors, it is called the two-way analysis of variance test.

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Most popular questions from this chapter

Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the sample of regular Pepsi has a mean weight of 0.82410 lb, and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equality of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others?

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

Flight Departure Delays Listed below are departure delay times (minutes) for American Airlines flights from New York to Los Angeles. Negative values correspond to flights that departed early. Use a 0.05 significance level to test the claim that the different flights have the same mean departure delay time. What notable feature of the data can be identified by visually examining the data?

Flight 1

-2

-1

-2

2

-2

0

-2

-3

Flight 19

19

-4

-5

-1

-4

73

0

1

Flight21

18

60

142

-1

-11

-1

47

13

Fast Food Dinner Service Times Data Set 25 鈥淔ast Food鈥 in Appendix B lists drivethrough service times (seconds) for dinners at McDonald鈥檚, Burger King, and Wendy鈥檚. Using those times with a TI-83>84 Plus calculator yields the following display. Using a 0.05 significance level, test the claim that the three samples are from populations with the same mean. What do you conclude?

Lead and Full IQ Scores Example 1 used measured performance IQ scores for three different blood lead levels. If we use the same three categories of blood lead levels with the fullIQ scores, we get the accompanying Excel display. (The data are listed in Data Set 7 鈥淚Q and Lead鈥 in Appendix B.) Using a 0.05 significance level, test the claim that the three categories of blood lead level have the same mean full IQ score. Does it appear that exposure to lead has an effect on full IQ scores?

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