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scale of measurement
different ways of categorizing measurement outcomes: nominal, ordinal, interval, and ratio
nominal level of measurement
the most gross level of measurement by which a variable's value can be placed in one and only one category
ordinal level of measurement
a level of measurement that places a variable's value into a category and assigns that category an order with respect to other categories
interval level of measurement
a level of measurement that places a variable's values into categories that are equidistant from each other, as when points are evenly spaced along a scale
ratio level of measurement
a level of measurement defined as having an absolute zero
class interval
a fixed range of values, used in the creation of a frequency distribution
histogram
a graphical representation of a frequency distribution that uses bars of different heights to show the number of values that fall within each class interval
ogive
a visual representation of a cumulative frequency distribution
scattergram
a plot of paired data points on an x-axis and a y-axis, used to visually represent a correlation
correlation matrix
a table showing correlation coefficients among more than two variables
coefficient of determination
the amount of variance in one variable that is accounted for by the variance in another variable
coefficient of alienation
the amount of variance in one variable that is not accounted for by the variance in another variable
partial correlation
a numerical index that reflects the relationship between two variables with the removal of the influence of a third variable (called a mediating or cofounding variable)
dependent variable
the outcome variable or the predicted variable in a regression equation
independent variable
the treatment variable that is manipulated or the predictor variable in a regression equation
true score
the score that, if it could be observed, would reflect the actual ability or behavior being measured
error score
the part of a test that is random and contributes to the unreliability of a test
parallel forms reliability
a type of reliability that examines consistency across different forms of the same test
internal consistency reliability
a type of reliability that examines whether items on a test measure only one dimension, construct, or area of interest
interrater reliability
a type of reliability that examines whether observers are consistent with one another
content validity
a type of validity that examines how well a test samples a universe of items
criterion validity
a type of validity that examines how well a test reflects some criterion that exists in either the present (concurrent) or the future (predictive)
concurrent criterion validity
how well a test outcome is consistent with a criterion that exists in the present
predictive criterion validity
how consistent a test outcome is with a criterion that occurs in the future
construct validity
how well a test reflects an underlying idea, such as intelligence or aggression
what are science's 3 basic goals and how does statistics help accomplish these goals?
description, prediction and explanation
why do outliers not impact the median?
because the median cares about the number of cases
what are some examples of categorical data?
ethnicity, major, eye color, experimental condition
what are some examples of continuous data?
height, weight, age, self-esteem (all numbers between two endpoints are possible scores)
what scale falls under categorical data?
nominal scale
what scales fall under continuous data?
ordinal, interval and ratio scale
is nominal level of measurement mutually exclusive?
yes
what is an example of a nominal level of measurement?
eye color and political affiliation
what is an example of an ordinal level of measurement?
ranking candidates for a job; gold, silver, bronze metals at the Olympics
what is an example of an interval level of measurement?
celsius and fahrenheit
what is an example of a ratio level of measurement?
zero molecular movement, zero light, zero answers correct
what does categorical data measure?
mode
what does continuous data measure?
median or mode
when do you use mode in categorical or nominal data?
when the data and values only fit into one category
when do you use the median in continuous data?
when you have extreme scores
when do you use the mean in continuous data?
when the data do not include extreme scores or outliers
categorical data
data that sorts people or things into categories
continuous data
data measured on a continuum
identify this scale of measurement: Accuracy in spelling 20 words
ratio
identify this scale of measurement: hair color; black, brown, blonde, other
nominal
identify this scale of measurement: dress or clothing size 0-20
interval
identify this scale of measurement: likert scale; 1 = agree to 10 = disagree
ordinal
identify this scale of measurement: rating scale; -3 = Mad to +3 = Happy
ordinal
identify this scale of measurement: reaction time in seconds
ratio
identify this scale of measurement: marital status; single, married, divorced
nominal
identify this scale of measurement: US shoe sizes 5 to 15
interval
identify this scale of measurement: shoe sizes based on cm or inches
ratio
different samples may have different degrees of variability for the same variable
true
example of different samples having different degrees of variability for the same variable
2 different classes taking the same test / same central tendency, but different variability
what are the problems with range?
ignores the middlemost values and considers only the most extreme scores
what does a small/low SD value indicate?
most data points tend to be closer to the mean
what does a large/high SD value indicate?
most data points tend to be far away from the mean
what are the ten ways to make a great figure?
1. minimize the junk
2. plan before you create
3. say what you mean; mean what you say
4. label everything
5. communicate one idea
6. keep things balanced
7. maintain the scale in the graph
8. simple is best, less is more
9. limit the number of words
10. the chart alone should convey what you want to say
what is a frequency distribution?
a frequency distribution is a method of tallying and representing the number of times a certain score occurs
what is a histogram?
visual representation of a frequency distribution
what is a frequency polygon?
shows a continuous line that represents the frequencies of scores within a class interval
what is kurtosis?
how peaked vs. flat a distribution is
what is platykurtic?
low kurtosis, flat, more variability
what is leptokurtic?
high kurtosis, peaked, less variability
.5 to 1 correlation indicates what type of relationship?
strong relationship
.4 correlation indicates what type of relationship?
moderate to strong relationship
.3 correlation indicates what type of relationship?
moderate relationship
.2 correlation indicates what type of relationship?
weak to moderate relationship
0 to .1 correlation indicates what type of relationship?
weak or no relationship
when will correlation coefficients be reduced in value and not capture the true relationship between variables?
when there is a restriction of range
does outliers have a big influence on correlation coefficients?
yes
when does a restriction of range occur?
when most subjects have similar scores on one of the variables being correlated or there is an artificial boundary on one end of one variable
r sqaured is what?
coefficient of determination
what is the coefficient of determination?
the percentage of variance in one variable that is accounted for by the variance in the other variable
1 - r squared is what?
coefficient of alienation or nondetermination
what is the coefficient of alienation or nondetermination?
the amount of unexplained variance
correlation expresses what between two or more variables?
association NOT causality
self-report measure
asking people questions about themselves in a questionnaire / how many caffeinated beverages have you consumed today?
observation/behavioral measure
recording observable behaviors / operationalizing cleanliness by quantifying how much dust someone has on their furniture
physiological measure
record biological data / operationalizing whether someone can distinguish between two different speech sounds by examining his or her brain responses to those sounds
what two things do you want when interpreting reliability coefficients?
the reliability coefficient to be positive and not negative and reliability coefficients to be as large as possible