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1 TMA 4255 Applied statistics Spring 2010 Part 2 2 One-Way ANOVA 3 General setup – One-Way ANOVA 4

TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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Page 1: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

1

TMA 4255 Applied statistics

Spring 2010Part 2

2

One-Way ANOVA

3

General setup – One-Way ANOVA

4

Page 2: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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MINITAB analysis of Table 3.1

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7 8

Page 3: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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Page 4: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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(MINITAB analysis of Table 13.1)

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(Used in MINITAB)

Page 5: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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13.9 Randomized Complete Block Designs

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Model with interactions between treatment and block:

Page 6: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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Degrees of freedom:

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Page 7: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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Example 9

It is assumed that the maximal voltage of a storing battery depends on the material used in the plates of the battery, and of the temperature in the room where the battery is stored. To investigate this one takes four replicates for each of three materials and three temperatures.

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Page 8: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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13.12 Random Effects Model

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Page 9: TMA 4255 Applied statistics - NTNU · 2010. 3. 9. · 3320 553.33 . Residual Plots for Y Residual Plots for Y Normal Probability Plot of the Residuals 200 ... bk — 1 Source Of variation

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s

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MINITAB (Example 13.8)

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