Reading 1

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Research methods - Reading 1 (Originally from Amrit)
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Amrit Bhogal
Created by Amrit Bhogal about 9 years ago
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Question Answer
Observed Score A score obtained from a measurement instrument. - Has strong meaning when compared with other scores.
How do we calculate a centred score? Subtract the mean from the observed score. Negative when below the mean; positive when above the mean.
Sum of squares (SS) - What is it a measure of? - How is it calculated? - A measure of variability. - Calculated by squaring the centred scores and then adding them together.
When is the sum of squares (SS) larger? When the scores fall farther from the mean.
Sum of products (SP) - What is it a measure of? - How is it calculated? - Measure of the relationship between two variables. - It is calculated by multiplying the centred score on one variable by the centred score on the other variable, and then adding these products together.
When is SP positive? Negative? - Positive when an increase in one variable is associated with an increase in the other variable. - Negative when an increase in one variable is associated with a decrease in the other variable.
Independent vs. Dependent variable The dependent variable is the variable one wants to predict (Y), and the independent variable is the variable one uses to predict it (X).
What does a sum of squares and products (SSP) table provide? It conveniently provides a way of summarizing information about the variables.
Degrees of freedom (df) Number of scores in a set that can vary freely.
True/False: The sum of centred scores is always 0. True
How is variance calculated? SS/(N-1) (N - 1 = degrees of freedom)
How does the standard deviation relate to the variance? It is the square root of the variance.
What is the purpose of taking the square root of the variance? To undo the initial squaring of the centred scores. - Providing an estimate of variability that relates directly to the original unit of measurement.
True/False: The ratio between N-1 and N approached unity as N increases. True
Standard scores - What are they? - What is a common form? - Centred scores that have been scaled relative to the standard deviation. - z score
What does a z score indicate? A z score indicates the number of standard deviations that an observed score is away from the mean. - z scores have a mean of zero (like centred scores).
Simple correlation A standardized measure of relationship that ranges in value from −1 to 1.
When is a simple correlation positive? When is it negative? It is positive when an increase in one variable is associated with an increase in the other variable, and it is negative when an increase in one variable is associated with a decrease in the other variable.
How is the simple correlation calculated? Simple correlation is equal to the standardized sum of products divided by its degrees of freedom.
What is the standardized sum of products? The standardized sum of products is simply the sum of products calculated using z scores rather than centred scores.
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