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Question

Arrange in order the steps in testing for statistical significance :
a. Interpret the results.
b. Select and compute the test for statistical significance.
c. Select a probability of error level.
d. State the research hypothesis.
e. State the null hypothesis.
Codes :

The correct answer is
d, e, c, b, a

Statistical Significance Testing Steps Order

Testing for statistical significance involves a methodical sequence to evaluate research findings objectively. Following the correct order is crucial for valid conclusions.

Correct Sequence of Steps

  1. d. State the research hypothesis.
    Begin by clearly defining the specific relationship or effect you expect to observe in your study. This guides the entire research process.
  2. e. State the null hypothesis.
    Formulate the null hypothesis ($H_0$), which posits the absence of any effect or relationship. This is the statement that statistical testing aims to challenge.
  3. c. Select a probability of error level ($\alpha$).
    Determine the significance level, commonly denoted as $\alpha$ (e.g., 0.05). This threshold sets the risk tolerance for incorrectly rejecting the null hypothesis.
  4. b. Select and compute the test for statistical significance.
    Choose an appropriate statistical test based on your data type and hypotheses. Compute the test statistic using your sample data.
  5. a. Interpret the results.
    Compare the calculated test statistic or p-value against the chosen significance level ($\alpha$). Make a decision on the null hypothesis and interpret the findings in the context of the research question.
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Important Questions from Measurement and Analysis of Data

  1. For the ANOVA table

    Source of variationsSum of squaresDegree of freedom
    Between treatment753
    Error4816
    Total12319

    the F - statistics is

  2. In a 3 races, 2 genders and 5 in each treatment group for two-way ANOVA, the degree of freedom for source of variation due to interaction, error and total respective are

  3. The Pearson's correlation coefficient between following observation

    X:1234
    Y:3421

    is -0.8. If each observation of X is halved and of Y is doubled, then Pearson's correlation coefficient equals to

  4. For the ANOVA table

    Source of variationsSum of squaresDegrees of freedom
    Between treatment453
    Error3216
    Total9919

    the F - statistics is:

  5. For the ANOVA, which of the following options is INCORRECT?

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