Psychological Measurement Chapter 4 Flashcards
Level of measurement
relationship among the numbers we have assigned to the information
Nominal
Assign numbers to objects where different numbers indicate different objects
Female = 1, Male = 2
Ordinal
Assign numbers to objects, numbers also have meaningful order
1st place, 2nd place, 3rd place
Interval
Numbers have order but there are also equal intervals between adjacent categories
the difference between 78 degrees and 79 degrees (1 degree) is the same as 45 and 46 degrees (1 degree)
Ratio
Differences are meaningful (like interval), plus ratios are meaningful and there is a true zero point
10 pounds is twice as much as 5 pounds (ratios are meaningful: 10/5= 2)
- Zero pounds means no weight or an absence of weight (true zero point)
Raw scores
basic scores calculated form a psychological test
- We convert raw scores into more informative standards scores
Frequency distribution
an orderly arrangement of a group of numbers
Histogram
a bar graph used to represent frequency data in statistics
normal distribution
(Carl Frederich Gauss)
Perfect and symmetrical
- Forms a bell shaped curve
Measures of central tendency
value that helps us understand the middle of a distribution or set of scores (Mean, median and mode)
Mode
Refers to the data value that is most frequently observed
Median
Refers to the data value that is positioned in the middle of an ordered data set
- Smallest to largest order
Mean
Average between all data points
Range
Max - Minimum (how much room distribution takes)
Standard deviation
How close the values in a data set are to the mean
+2 indicates that scores vary around the mean by 2 points
Variance
The degree of spread within the distribution
sum of the squared differences from the mean of each score, divided by the number of scores
Correlation coefficient
is a statistic that we typically use to describe the relationship between two or more distributions of scores
Pearson Product-Moment Correlation Coefficient
When variables are on an interval or ratio scale
Spearman Rank Correlation Coefficient
When the variables are on an ordinal scale
Standards scores
Units we transform test scores into (From raw scores)
Linear transformations
change the unit of measurement but do not change the characteristics of the raw data
Area transformations
change not only the unit of measurement but also the unit of inference
Percentage
divide a raw score by the total possible scores and hen multiply answer by 100
Standard deviation unit
How many standards deviations an individual score falls away from the mean
Z-score
ells how many standard deviations someone is above or below the mean.
-Similar to standard deviation except it is represented as a whole number with a decimal point
T-Score
(or standardized scores) are a conversion (transformation) of raw individual scores into a standard form, where the conversion is made without knowledge of the population’s mean and standard deviation.
- Similar to standard deviation, help us understand how many standard deviations an individual test score is above or below the distribution mean.