Table of Squares
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Questions and Answers

What is the total of the sum of squares for Tablet A?

  • 231
  • 302
  • 311
  • 150 (correct)

    • What is the value in the second row of Tablet B?

  • 49 (correct)
  • 81
  • 36
  • 64

    • What is the total of the sum of squares for Tablet C?

  • 96 (correct)
  • 311
  • 150
  • 46

    • What is the value in the third row of Tablet D?

    <p>1</p> Signup and view all the answers

    What is the total of the sum of squares for Tablet E?

    <p>231</p> Signup and view all the answers

    What is the value in the first row of Tablet A?

    <p>25</p> Signup and view all the answers

    What is the value in the fourth row of Tablet B?

    <p>36</p> Signup and view all the answers

    What is the total of the sum of squares for all tablets?

    <p>834</p> Signup and view all the answers

    What is the purpose of Scheffe's test?

    <p>To test the differences among the means of k groups</p> Signup and view all the answers

    What is the criteria for rejecting the null hypothesis Ho?

    <p>Computed F' ≥ Critical F'</p> Signup and view all the answers

    What is the decision for the pair A & B?

    <p>Not Significant/Accept H<del>o</del></p> Signup and view all the answers

    What is the critical F' value in the given table?

    <p>11.48</p> Signup and view all the answers

    What is the null hypothesis Ho1?

    <p>α<del>1</del>=α<del>2</del>=...=α<del>k</del></p> Signup and view all the answers

    What is the purpose of two-way classification in ANOVA?

    <p>To analyze the interaction between two variables</p> Signup and view all the answers

    What is the alternative hypothesis Ha?

    <p>The row effects are not all 0</p> Signup and view all the answers

    What is the decision for the pair B & E?

    <p>Not Significant/Accept H<del>o</del></p> Signup and view all the answers

    What type of data is required for a t-test?

    <p>Interval or ratio data</p> Signup and view all the answers

    How many degrees of freedom would a two-sample t-test have if the sample sizes are 20 and 20?

    <p>38</p> Signup and view all the answers

    What type of test would you use to determine if the mean family income in Eastern Visayas is greater than the poverty threshold?

    <p>One-tailed test</p> Signup and view all the answers

    If the tabulated value is greater than the computed value in a two-tailed test, what conclusion should you draw?

    <p>The null hypothesis should not be rejected</p> Signup and view all the answers

    What is the critical value of a one-tailed z-test for a proportion at a significance level of 0.05?

    <p>2.33</p> Signup and view all the answers

    What type of test is used to determine whether there is a significant difference between the means of two independent samples?

    <p>Two-tailed t-test</p> Signup and view all the answers

    What is the purpose of a unit test?

    <p>To evaluate student understanding of statistical concepts</p> Signup and view all the answers

    What type of data is required for a z-test for a proportion?

    <p>Interval or ratio data</p> Signup and view all the answers

    What is the main difference between Parametric Statistics and Non-Parametric Statistics?

    <p>Parametric Statistics applies to data that are both interval or ratio scales, while Non-Parametric Statistics applies to nominal or ordinal scales</p> Signup and view all the answers

    What is the null hypothesis for the row effects in the two-way ANOVA?

    <p>β<del>1</del>=β<del>2</del>=...=β<del>k</del></p> Signup and view all the answers

    What is the purpose of hypothesis testing?

    <p>To test a claim about a population</p> Signup and view all the answers

    What are the two statistical tools used in comparing two means in parametric statistics?

    <p>z-test and t-test</p> Signup and view all the answers

    What is the test statistic used in the two-way ANOVA?

    <p>F-test</p> Signup and view all the answers

    What are the common statistical tools under parametric statistics?

    <p>z-test, t-test, and ANOVA</p> Signup and view all the answers

    What is the formula for the F-test in the two-way ANOVA for the row effects?

    <p>$F_c = \frac{MSR}{MSE}$</p> Signup and view all the answers

    What is the requirement for using parametric statistics?

    <p>The data must be interval or ratio scales</p> Signup and view all the answers

    What is the significance level of the test?

    <p>0.05</p> Signup and view all the answers

    What is the main purpose of using z-test and t-test in parametric statistics?

    <p>To compare two means</p> Signup and view all the answers

    What is the null hypothesis for the column effects in the two-way ANOVA?

    <p>All α<del>i</del> are equal to zero</p> Signup and view all the answers

    What is the main difference between z-test and t-test?

    <p>z-test is used for large samples, while t-test is used for small samples</p> Signup and view all the answers

    What is the critical region of the test?

    <p>Locate the tabular/critical F-value</p> Signup and view all the answers

    What is the main goal of hypothesis testing in parametric statistics?

    <p>To test a claim about a population</p> Signup and view all the answers

    What is the value of Ftab for the row effects?

    <p>5.14</p> Signup and view all the answers

    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.

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