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Questions and Answers
What is the total of the sum of squares for Tablet A?
What is the value in the second row of Tablet B?
What is the total of the sum of squares for Tablet C?
What is the value in the third row of Tablet D?
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What is the total of the sum of squares for Tablet E?
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What is the value in the first row of Tablet A?
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What is the value in the fourth row of Tablet B?
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What is the total of the sum of squares for all tablets?
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What is the purpose of Scheffe's test?
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What is the criteria for rejecting the null hypothesis Ho?
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What is the decision for the pair A & B?
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What is the critical F' value in the given table?
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What is the null hypothesis Ho1?
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What is the purpose of two-way classification in ANOVA?
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What is the alternative hypothesis Ha?
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What is the decision for the pair B & E?
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What type of data is required for a t-test?
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How many degrees of freedom would a two-sample t-test have if the sample sizes are 20 and 20?
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What type of test would you use to determine if the mean family income in Eastern Visayas is greater than the poverty threshold?
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If the tabulated value is greater than the computed value in a two-tailed test, what conclusion should you draw?
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What is the critical value of a one-tailed z-test for a proportion at a significance level of 0.05?
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What type of test is used to determine whether there is a significant difference between the means of two independent samples?
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What is the purpose of a unit test?
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What type of data is required for a z-test for a proportion?
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What is the main difference between Parametric Statistics and Non-Parametric Statistics?
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What is the null hypothesis for the row effects in the two-way ANOVA?
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What is the purpose of hypothesis testing?
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What are the two statistical tools used in comparing two means in parametric statistics?
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What is the test statistic used in the two-way ANOVA?
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What are the common statistical tools under parametric statistics?
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What is the formula for the F-test in the two-way ANOVA for the row effects?
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What is the requirement for using parametric statistics?
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What is the significance level of the test?
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What is the main purpose of using z-test and t-test in parametric statistics?
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What is the null hypothesis for the column effects in the two-way ANOVA?
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What is the main difference between z-test and t-test?
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What is the critical region of the test?
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What is the main goal of hypothesis testing in parametric statistics?
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What is the value of Ftab for the row effects?
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Study Notes
ANOVA (Analysis of Variance)
- ANOVA is a method used to test the differences among the means of two or more groups.
- It involves two variables: row effects (H0: α1 = α2 = … = αk) and column effects (H0: β1 = β2 = … = βk).
Hypothesis Testing
- H0: The null hypothesis (e.g., α1 = α2 = … = αk) states that the means of the groups are equal.
- H1: The alternative hypothesis (e.g., at least one of the αi is not equal to zero) states that the means of the groups are not equal.
F-Test (Two-Way ANOVA)
- The F-test is used to determine whether the row and column effects are significant.
- F = MSR / MSE (for row effects)
- F = MSC / MSE (for column effects)
- The critical region is F ≥ Fcritical.
Scheffe's Test (Posteriori Test)
- Used to compare pairs of means after ANOVA.
- Absolute difference in means, computed F', and critical F' are calculated to determine significance.
Parametric Statistics
- Parametric statistics applies to interval or ratio scale data.
- Assumes normality and independence of the population from which the research sample was drawn.
- Common statistical tools: z-test, t-test, and ANOVA.
Unit Test (Directions)
- Select the correct answer from multiple-choice questions.
- Questions cover topics such as t-test, ANOVA, parametric statistics, and hypothesis testing.
Learning Outcomes
- Define hypothesis testing and state the null and alternative hypotheses.
- Find critical values for specific statistical tests.
- State the five steps used in hypothesis testing.
- Test means for large samples using the z-test and small samples using the t-test.
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Description
Complete the table of squares with values from 25 to an unknown total. Find the correct squares for each tablet and calculate the totals and means.
