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Question

In ANOVA, error variance is computed by considering

The correct answer is
Within group

Analysis of Variance (ANOVA) is a statistical method used to test differences between two or more means. It works by partitioning the total variability observed in the data into different sources.

Understanding ANOVA Variance Components

In ANOVA, the total variation (Total Sum of Squares, SST) is typically broken down into two main components:

  • Between Group Variance (SSB): This measures the variability between the sample means of the different groups being compared.
  • Within Group Variance (SSW): This measures the variability of the scores within each individual group, pooled together. It represents the error or random variation that is not explained by the group differences.

Computing ANOVA Error Variance

The error variance in ANOVA is essentially an estimate of the population variance based on the variability observed *within* each of the groups. It is calculated using the Within Group Sum of Squares (SSW) and the appropriate degrees of freedom.

Therefore, error variance is computed by considering the variation Within group.

The correct option is C.

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Important Questions from Research methodology - Teaching

  1. Arrange the steps in research process in sequential order:
    A. Collection and analysis of data
    B. Interpretation and report
    C. Review concepts and theories
    D. Define research problem
    E. Formulation of hypothesis
    Choose the correct answer from the options given below:
  2. Arrange the steps involved in 'content analysis' in sequential order:
    A. Identifying the main themes
    B. Classifying responses under the main themes
    C. Integrating themes and responses into the text of the report
    D. Assigning codes to the main themes
    Choose the correct answer from the options given below:
  3. Identify the sources of secondary data from among the following:
    A. Archival materials
    B. Statistical reports
    C. Population census
    D. Journals
    E. Content analysis
    Choose the correct answer from the options given below:
  4. Arrange the following experimental designs in order of highest control of 'threats to internal validity' to lowest control-
    A. Time Series Design
    B. Static-Group Comparison Design
    C. Solomon Four-Group Design
    D. One-Shot Case Study
    E. One-Group Pretest-Posttest Design

    Choose the correct answer from the options given below:
  5. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
    Assertion A: The concept of the single variable provided a sound approach to experimentation in the behavioural sciences.
    Reason R: The earliest assumptions of experimental research were based on what was known as the 'law of the single variable'.
    In the light of the above statements, choose the most appropriate answer from the options given below
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