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Two-way ANOVA problems

Two-way ANOVA problems. Fixed effects analysis in a Two–way ANOVA. Problem 5.6 ANOVA. Effect Tests Source DF Sum of Squares F Ratio Prob > F Phos . Type 2 933.33 8.8421 0.0044 *

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Two-way ANOVA problems

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  1. Two-way ANOVA problems Fixed effects analysis in a Two–way ANOVA

  2. Problem 5.6 ANOVA Effect Tests Source DF Sum of Squares F Ratio Prob> F Phos. Type 2 933.33 8.8421 0.0044* Glass Type 1 14450.0 273.78 <.0001* Phos. Type*Glass Type 2 133.333 1.2632 0.3178

  3. Interaction Plot

  4. PhosphorousType

  5. Tukey HSD Level Least Sq Mean 2 A 273.33333 1 B 260.00000 3 B 256.66667 Levels not connected by same letter are significantly different.

  6. Glass Effect Plot

  7. Residuals and Normality Plot

  8. Residuals by Predicted

  9. Problem 5.10 Source DF Sum of Squares F Ratio Prob> F Glass Type 2 150864.5 206.3706 <.0001* Temp. 2 1970334.5 2695.259 <.0001* Glass *Temp. 4 290551.7 198.7257 <.0001*

  10. Interaction Plot

  11. Now this is slick!!!!!!!! Level Least Sq Mean 1,150 A 1386.0000 2,150 B 1313.0000 1,125 C 1087.3333 3,125 C 1054.6667 2,125 C 1035.0000 3,150 D 886.6667 3,100 E 573.3333 1,100 E 572.6667 2,100 E 553.0000 Levels not connected by same letter are significantly different.

  12. Residuals by Predicted

  13. Residual Plot and Normality Plot

  14. Normality test Shapiro-Wilk W Test WProb<W 0.966954 0.5237 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.

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