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PUB HLTH 3009 Experimental Research Design and Analysis

Question

Answered

Question: 

based on the given data it needs analysis

In this assignment you are provided information on an experiment and you are required to investigate and interpret the output which is provided below.

Problem: Consider the three‐variable central composite design shown in the table.

Run

Time (min)

Temperature (°C)

Catalyst (%)

Conversion (%) y1

Activity y2

 1

−1.000

−1.000

−1.000

74

53.2

 2

  1.000

−1.000

−1.000

51

62.9

 3

−1.000

  1.000

−1.000

88

53.4

 4

  1.000

  1.000

−1.000

70

62.6

 5

−1.000

−1.000

  1.000

71

57.3

 6

  1.000

−1.000

  1.000

90

67.9

 7

−1.000

  1.000

  1.000

66

59.8

 8

  1.000

  1.000

  1.000

97

67.8

 9

  0.000

  0.000

  0.000

81

59.2

10

  0.000

  0.000

  0.000

75

60.4

11

  0.000

  0.000

  0.000

76

59.1

12

  0.000

  0.000

  0.000

83

60.6

13

−1.682

  0.000

  0.000

76

59.1

14

  1.682

  0.000

  0.000

79

65.9

15

  0.000

−1.682

  0.000

85

60

16

  0.000

  1.682

  0.000

97

60.7

17

  0.000

  0.000

−1.682

55

57.4

18

  0.000

  0.000

  1.682

81

63.2

19

  0.000

  0.000

  0.000

80

60.8

20

  0.000

  0.000

  0.000

91

58.9

Design and Analysis of Experiments (9th Edition) [Texidium version]. (2017). Retrieved from http://texidium.com

Conversion percent

A partial Minitab output for the full model is shown below. Fits and Diagnostics for Unusual Observations.

Analysis of Variance

Interpret the above output. As well as discussing factor significance you are expected to discuss the unusual residual and how it may (or may not) affect the overall analysis. Is there a specific recommendation that you would make? The partial output for the reduced model is provided.

PUB HLTH 3009 Experimental Research Design and Analysis

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