Statistics Homework Solutions 214

Statistics Homework Solutions 214 - of freedom for the...

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214 CHAPTER 9 Source DF SS MS F P Oil 3 1.0926 0.36420 5.1314 0.007 Ring 2 0.9340 0.46700 6.5798 0.005 Interaction 6 0.2485 0.041417 0.58354 0.740 Error 24 1.7034 0.070975 Total 35 3.9785 (f) Yes. F 6 24 0 58354, P 0 10 ( P 0 740). (g) No, some of the main effects of oil type are non-zero. F 3 24 5 1314, 0 001 P 0 01 ( P 0 007). (h) No, some of the main effects of piston ring type are non-zero. F 2 24 6 5798, 0 001 P 0 01 ( P 0 005). 3. (a) Let I be the number of levels of mold temperature, let J be the number of levels of alloy, and let K be the number of replications. Then I 5, J 3, and K 4. The number of degrees of freedom for mold temperature is I 1 4. The number of degrees of freedom for alloy is J 1 2. The number of degrees of freedom for interaction is I 1 J 1 8. The number of degrees of freedom for error is IJ K 1 45. The mean squares are found by dividing the sums of squares by their respective degrees of freedom. The F statistics are found by dividing each mean square by the mean square for error. The number of degrees
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Unformatted text preview: of freedom for the numerator of an F statistic is the number of degrees of freedom for its effect, and the number of degrees of freedom for the denominator is the number of degrees of freedom for error. P-values may be obtained from the F table, or from a computer software package. Source DF SS MS F P Mold Temp. 4 69738 17434.5 6.7724 0.000 Alloy 2 8958 4479.0 1.7399 0.187 Interaction 8 7275 909.38 0.35325 0.939 Error 45 115845 2574.3 Total 59 201816 (b) Yes. F 8 45 35325, P 10 ( P 939). (c) No, some of the main effects of mold temperature are non-zero. F 4 45 6 7724, P 001 ( P 0). (d) Yes. F 3 45 1 7399, P 10, ( P 187)....
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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