Question

WRITE A MINI REPORT (3 PARAGRAPHS) DESCRIBING A DATA ANALYSIS OF YOUR CHOICE AND YOUR CONCLUSIONS TO ANSWER THE RESEARCH QUESTIONS LISTED BELOW USING THE DATA (given in SAS format) BELOW.

A producer of medical masks is doing an experiment to investigate the effect that the material of the mask and the thickness of the mask have on protection against the SARS virus (as measured by percent of 0.3-micron particles blocked; a higher percentage is better). The three material types examined are cotton, polyester, and polypropylene. The three thickness levels examined are 0.25 mm, 0.40 mm, and 0.55 mm. The researcher also wants to know whether the material type and the thickness interact significantly. If the factor(s) significantly affect protection, then we want to know which levels of the factors differ significantly (or which factor level combinations, if there is significant interaction). Write a mini-report (about 3 paragraphs) describing a data analysis of your choice and your conclusions to answer the producer’s research questions. Thank you!

DATA prob1;
INPUT material $ thickness protection;
cards;
cotton 0.25 34
cotton 0.25 42
cotton 0.25 37
cotton 0.4 44
cotton 0.4 43 
cotton 0.4 51
cotton 0.55 56
cotton 0.55 52 
cotton 0.55 50
polyest 0.25 65
polyest 0.25 61 
polyest 0.25 68
polyest 0.4 72
polyest 0.4 67
polyest 0.4 74
polyest 0.55 81
polyest 0.55 77
polyest 0.55 76
polyprop 0.25 63
polyprop 0.25 67
polyprop 0.25 73
polyprop 0.4 68
polyprop 0.4 74
polyprop 0.4 73
polyprop 0.55 78
polyprop 0.55 85
polyprop 0.55 81
;
run;

Answer 1

Using SAS:

Code:

Output:

Here we can see the main effect Material and Thickness are significant because p value is less than 0.05.

But the interaction effect Material*Thickness not significant because p value 0.8776 is greater than 0.05.