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Question

If observers disagree 15 times out of 75, then the inter-rater reliability is:

The correct answer is
80%

Calculating Inter-Rater Reliability

Inter-rater reliability measures the consistency between two or more raters. It indicates the degree of agreement among independent observers.

Reliability Formula and Calculation

The formula for inter-rater reliability, expressed as a percentage of agreement, is:

$ \text{Reliability} = \left( \frac{\text{Number of Agreements}}{\text{Total Observations}} \right) \times 100\% $

Given:

  • Total Observations = 75
  • Number of Disagreements = 15

First, calculate the number of agreements:

$ \text{Number of Agreements} = \text{Total Observations} - \text{Number of Disagreements} $

$ \text{Number of Agreements} = 75 - 15 = 60 $

Next, substitute the values into the reliability formula:

$ \text{Reliability} = \left( \frac{60}{75} \right) \times 100\% $

Simplify the fraction:

$ \frac{60}{75} = \frac{4 \times 15}{5 \times 15} = \frac{4}{5} $

Calculate the percentage:

$ \text{Reliability} = \frac{4}{5} \times 100\% = 0.8 \times 100\% = 80\% $

Result

The inter-rater reliability is 80%.

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Important Questions from Measurement and Analysis of Data - Teaching

  1. Identify the variables that pertain to interval scale of measurement
    A. gender
    B. date of birth of a person
    C. religion
    D. time of the day
    Choose the correct answer from the options given below:
  2. F-ratio is
  3. Which statements of the following are true about Spearman-Brown prophecy formula?
    A. In the split half method, the reliability coefficient of the whole test can be estimated with the help of
    reliability coefficient of the half test by using this formula.
    B. This formula may be used to estimate the reliability of ratings as well as test scores.
    C. It cannot be used to estimate the reliability of paired comparisons.
    D. It cannot be used to obtain the effect on reliability by lengthening or repeating a test.

    Choose the correct answer from the options given below:
  4. Which of the following is NOT true about errors in measurement?
  5. In a two-tailed test, for a particular degree of freedom, if a null hypothesis could not be rejected at 0.01 level of significance, then at 0.05 level of significance, this null hypothesis
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