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Lab # 1

The Completely Randomized Design (CRD). Lab # 1. Definition. Achieved when the samples of experimental units for each treatment are random and independent of each other Design is used to compare the treatment means:. The hypotheses are tested by comparing the differences

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Lab # 1

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  1. The Completely Randomized Design (CRD) Lab # 1

  2. Definition • Achieved when the samples of experimental units for each treatment are random and independent of each other • Design is used to compare the treatment means:

  3. The hypotheses are tested by comparing the differences between the treatment means. • Test statistic is calculated using measures of variability within treatment groups and measures of variability between treatment groups

  4. Steps for Conducting an Analysis of Variance (ANOVA) for a Completely Randomized Design: • 1- Assure randomness of design, and independence, randomness of samples • 2- Check normality, equal variance assumptions • 3- Create ANOVA summary table • 4- Conduct multiple comparisons for pairs of means as necessary/desired

  5. assumptions 1- Normality: You can check on normality using 1- plot 2- Kolmogorve test 2- Constant variance: You can check on homogeneity of variances using 1- Plot 2- leven’s test.

  6. ONE WAY ANOVA

  7. multiple comparisons of means • A significant F-test in an ANOVA tells you that the treatment means as a group are statistically different. • Does not tell you which pairs of means differ statistically from each other • With k treatment means, there are c different pairs of means that can be compared, with c calculated as

  8. multiple comparisons of means

  9. Example 1 • A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. The • following conductivity data are obtained.

  10. Solution • Enter data in spss as follows:

  11. Analysis

  12. One way Anova

  13. Thanks for all

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