Raven's Progressive Matrices Test Raven's Progressive Matrices Distribution and Frequency Rules 5 — Questions and Answers
Question 1: Which of the following best explains why RPM norms require periodic restandardization?
- Test items wear out and become less valid over time
- Population score distributions shift upward over generations due to the Flynn Effect (Correct answer)
- Printing quality of matrices changes with new editions
- Older norms overestimate performance in younger cohorts
Correct answer: Population score distributions shift upward over generations due to the Flynn Effect
Secular score increases (Flynn Effect) mean older norms underestimate current typical performance, requiring updated standardization samples.
Question 2: On the Coloured Progressive Matrices (CPM), the distribution of scores among children aged 5–11 tends to exhibit which characteristic?
- A strong ceiling effect because items are too easy
- Positive skew with many low scores and fewer high scores in younger age bands (Correct answer)
- Perfect symmetry at every age level
- Bimodal distribution due to gender differences
Correct answer: Positive skew with many low scores and fewer high scores in younger age bands
For younger children, raw scores cluster at lower values with a long tail toward higher scores, producing positive skew, especially in the youngest age bands.
Question 3: A researcher finds that the standard deviation of RPM scores in a gifted sample is smaller than in the general population. What does this indicate?
- The gifted sample is more variable in fluid intelligence than average
- Scores in the gifted sample are more tightly clustered — less spread — than in the general norm group (Correct answer)
- The gifted group has lower average scores
- The gifted group has more outliers at the low end
Correct answer: Scores in the gifted sample are more tightly clustered — less spread — than in the general norm group
A smaller SD in a gifted sample reflects score homogeneity — most high-ability individuals score similarly near the ceiling, reducing variability.
Question 4: What does 'norm-referenced interpretation' of RPM scores mean?
- Scores are interpreted relative to absolute mastery criteria set by the test developer
- An individual's score is compared to the distribution of scores from a representative standardization sample (Correct answer)
- Each item is scored by comparing the examinee to an expert rater
- Scores are interpreted based on the number of errors made
Correct answer: An individual's score is compared to the distribution of scores from a representative standardization sample
Norm-referenced interpretation situates an individual's raw score within the frequency distribution of the normative sample to yield relative standing.
Question 5: In a normal RPM score distribution, approximately what percentage of scores fall within one standard deviation of the mean?
- 50%
- 68% (Correct answer)
- 95%
- 99.7%
Correct answer: 68%
By the empirical (68-95-99.7) rule, about 68% of scores in a normal distribution fall within ±1 standard deviation of the mean.
Question 6: When RPM frequency data show a 'floor effect,' what does this indicate about the test and the sample?
- Most examinees scored near the maximum, limiting upward differentiation
- Many examinees scored near the minimum, limiting downward differentiation (Correct answer)
- The test has too many items of average difficulty
- The score distribution is perfectly normal for that sample
Correct answer: Many examinees scored near the minimum, limiting downward differentiation
Floor effect occurs when scores cluster at the lowest possible values, indicating the test may be too difficult for that particular sample.
Question 7: Which calculation converts a raw RPM score into a z-score, enabling comparison across different norm groups?
- z = (raw score) × (SD / mean)
- z = (raw score − mean) / SD (Correct answer)
- z = (mean − raw score) × SD
- z = (raw score / mean) − 1
Correct answer: z = (raw score − mean) / SD
A z-score is calculated by subtracting the group mean from the raw score and dividing by the standard deviation, placing the score on a universal standard normal scale.
Which of the following best explains why RPM norms require periodic restandardization?