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Question

In a study on scaling of attitude items, eleven statements were included. What would be the number of pairs of attitude statements ?

The correct answer is
55

Calculating Attitude Statement Pairs

The question asks for the total number of unique pairs that can be formed from eleven distinct attitude statements. This is a problem of combinations, as the order of statements in a pair does not matter (e.g., pair A-B is the same as pair B-A).

We need to find the number of ways to choose 2 statements from a set of 11. The formula for combinations is:

$ \binom{n}{k} = \frac{n!}{k!(n-k)!} $

Where:

  • $n$ is the total number of items (statements) = 11
  • $k$ is the number of items to choose for each combination (pair) = 2

Combination Calculation

Applying the formula:

$ \binom{11}{2} = \frac{11!}{2!(11-2)!} $

$ \binom{11}{2} = \frac{11!}{2!9!} $

$ \binom{11}{2} = \frac{11 \times 10 \times 9!}{ (2 \times 1) \times 9!} $

Cancel out $9!$:

$ \binom{11}{2} = \frac{11 \times 10}{2} $

$ \binom{11}{2} = \frac{110}{2} $

$ \binom{11}{2} = 55 $

Therefore, there are 55 possible pairs of attitude statements.

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Important Questions from Measurement and Analysis of Data - Teaching

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    C. religion
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    Choose the correct answer from the options given below:
  2. F-ratio is
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    Choose the correct answer from the options given below:
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  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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