13 - Quantitative Analysis Flashcards
types of variables
nominal, ordinal, interval/ration
nominal variables
- aka categorical, composed of categories with no relationship except that they are different
- order of categories is arbitrary
ordinal variables
- categories that can be ranked
- can be described as
- likert scale is common
- difference between categories is not necessarily equal
- no unit to measure
interval/ration variables
- can be measured by unit
- difference between categories is equal
- can have 0 value
- can be ranked
frequency tables
provides number and percent of subjects belonging to each category of variable
measures of central tendency
mean, median, mode; provides typical score in one number
mode
value that occurs most frequently, applicable to all types of variables, especially nominal data
median
mid point of scores, if there is an even number of scores the median is the mean of the middle 2 values. applicable to interval/ration and ordinal variables
mean
average, vulnerable to outliers
range
difference between the highest and lowest value, vulnerable to outliers
standard deviation
variation around the mean, vulnerable to outliers
work out the general mean, subtract the mean from every value, square every value, then find the mean of those values
bivariate analysis
examines relationship between 2 variables, esp through use of contingency tables
pearson’s r
statistic used to examine relationship between 2 interval/ratio variables
the relationship must be broadly linear
statistical significance
indication of risk of genralizing sample statistic to population
set up null hypothesis, establish acceptable level of statistical significance, determine statistical significance, decide whether or not to reject the null
two types of error
type I - true null was rejected
type II - false null wasn’t rejected
chi-sqaure test
applied to contingency tables
- measure of likelihood that relationship between variables in sample will also be found in population
- large chi-square to reject null hypothesis, larger n makes this easier
spurious relationship
when relationship appears to exist but isn’t real
intervening variable
suggests relationship between 2 variables is not direct
3 Questions to ask during bivariate anlaysis
- does the association exist?
- how strong is the association?
- in what direction does the association exist?
calculating association with bivariate table
“percentage down, compare across”
- an association exists if column percentages change
- the greater the change, the stronger the relationship
- to measure maximum difference, find biggest difference in column percentage for any row of the table
p
probability that results are not due to chance is 95%
null hypothesis
there is no relationship between 2 variables