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Analysis of Variance for Standard Designs

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Analysis of Variance for Standard Designs

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    1. Analysis of Variance for Standard Designs Chapter 15

    2. Completely Randomized Design with a Single Factor

    3. Table 15.3: A Completely Randomized Design

    4. The Model for a Completely Randomized Design

    5. The Model for a Completely Randomized Design, cont.

    6. Sums of Squares

    7. Sums of Squares, cont.

    8. Table 15.4: Analysis of Variance Table for a Completely Randomized Design

    9. Unbiased Estimates

    10. Expected Mean Squares

    11. Advantages of the Completely Randomized Design

    12. Disadvantages of the Completely Randomized Design

    13. Randomized Complete Block Design

    14. Randomized Complete Block Design, cont.

    15. Definition

    16. Advantages of the Randomized Complete Block Design

    17. Disadvantages of the Randomized Complete Block Design

    18. Figure 15.1: Treatment Means in a Randomized Block Design

    19. The Hypotheses for Testing Treatment Mean Differences

    20. Total Sum of Squares

    21. Table 15.11: Analysis of Variance Table for a Randomized Complete Block Design

    22. Expected Mean Squares

    23. Relative Efficiency

    24. Latin Square Design

    25. Advantages of the Latin Square Design

    26. Disadvantages of the Latin Square Design

    27. Definition 15.2

    28. Test for Treatment Effects

    29. Table 15.17: Analysis of Variance Table for a t x t Latin Square Design

    30. Relative Efficiency

    31. Factorial Treatment Structure in a Completely Randomized Design

    32. Figure 15.6a: Illustration of the Absence of Interaction in a 2 x 2 Factorial Experiment

    33. Figure 15.6b,c: Illustration of the Presence of Interaction in a 2 x 2 Factorial Experiment

    34. Table 15.25: Expected Values for a 2 x 2 Factorial Experiment

    35. Table 15.26: Expected Values for a 2 x 2 Factorial Experiment, with Replications

    36. Definition 15.4

    37. Profile Plot

    38. Table 15.27: AOV Table for a Completely Randomized Two-Factor Factorial Experiment

    39. Illustration of Significant, Orderly Interaction

    40. Illustration of Significant, Disorderly Interaction

    41. Factorial Treatment Structure in a Randomized Complete Block Design

    42. Estimation of Treatment Differences and Comparisons of Treatment Means

    43. Multiple Comparison Procedures

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