In a study of reading comprehension, sixth grade students read a short story about baseball. The students are divided into two groups based on their knowledge of baseball. Within each group, half of the students are high scorers on a test of verbal IQ, while the remaining students are low scorers. She found: Low baseball High baseball Low IQ-V 20 25 High IQ-V 20 30 What is the main effect of baseball knowledge? those in the high knowledge group score lower on reading comprehension than those in the low knowledge group. there is no main effect of baseball knowledge those in the high verbal IQ group score higher on reading comprehension than those in the low verbal IQ group. those in the high knowledge group score higher on reading comprehension than those in the low knowledge group.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- In a study of reading comprehension, sixth grade students read a short story about baseball. The students are divided into two groups based on their knowledge of baseball. Within each group, half of the students are high scorers on a test of verbal IQ, while the remaining students are low scorers.
She found:
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|
Low baseball |
High baseball |
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Low IQ-V |
20 |
25 |
|
High IQ-V |
20 |
30 |
What is the main effect of baseball knowledge?
|
those in the high knowledge group score lower on reading comprehension than those in the low knowledge group. |
||
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there is no main effect of baseball knowledge |
||
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those in the high verbal IQ group score higher on reading comprehension than those in the low verbal IQ group. |
||
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those in the high knowledge group score higher on reading comprehension than those in the low knowledge group. |
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