What factors are un-estimable


The following factors were studied to see their effect on light intensity (y):

A

B

C

D

E

F

G

 

Molarity

Solute type

pH

Gas Type

Water Depth

Horn depth

Flask Clamping

 

A

B

C

D

E=BCD

F=ACD

G=ABC

y

-1

-1

-1

-1

-1

-1

-1

70.6

1

-1

-1

-1

-1

1

1

56.1

-1

1

-1

-1

1

-1

1

49.1

1

1

-1

-1

1

1

-1

58.9

-1

-1

1

-1

1

1

1

65.1

1

-1

1

-1

1

-1

-1

323.8

-1

1

1

-1

-1

1

-1

56.8

1

1

1

-1

-1

-1

1

69.6

-1

-1

-1

1

1

1

-1

100.3

1

-1

-1

1

1

-1

1

73.1

-1

1

-1

1

-1

1

1

58.4

1

1

-1

1

-1

-1

-1

78.1

-1

-1

1

1

-1

-1

1

68.1

1

-1

1

1

-1

1

-1

312.2

-1

1

1

1

1

-1

-1

67.6

1

1

1

1

1

1

1

51.9

a. What kind of model is the above model? What factors are un-estimable? What is the resolution and why?

b. Using Half-Normal Plots, Determine the active factors that affect the  light intensity.

c. Using SAS and the active factors, analyze the data, remove any in-active factors. Run the model again (Need the F-Valuses and p-values and effect estimate).

d. Test the adequacy of the final model in c. Normality plot for residuals and Predicted Vs residuals, model fit and R2.

e. Use Tukey to determine what settings for the seven factors yield the highest light intensity. Include the SAS output.

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Basic Statistics: What factors are un-estimable
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