is a regression a type of correlation?
NO
regression
a statistical technique that predicts an outcome
what type of data can regressions be run on?
the predictors can be interval/ratio, ordinal, or nominal
predictors vs. outcome variables
predictor: the variable you use to predict or explain changes in another variable (IV)
outcome: the variable you are trying to predict or explain (DV)
linear regression
one predictor (any level of data) and one I/R outcome
multiple linear
multiple predictors (any level of data) and one I/R outcome
logistic regression
**one or more predictors (any level of data) and one categorical outcome, 2 levels only
multinomial logistic regression
one or more predictors (any level of data) and one categorical outcome, multiple levels
ordinal logistic regression
one or more predictors (any level of data) and one ordinal outcome, multiple levels
what type of regression is the following: Does GRE score significantly predict PT school GPA?
linear
one predictor (any level of data) and one I/R outcome
what type of regression is the following: Does age predict days to clearance following a concussion in adolescent athletes?
linear
one predictor (any level of data) and one I/R outcome
what type of regression is the following: Does disease category predict distance on the 6MWT?
linear
one predictor (any level of data) and one I/R outcome
how would you convert this relationship hypothesis into a prediction hypothesis: There will be a significant relationship between time 1and time 2 at r >+.80 or r<-.80?
can time 1 ROM predict time 2 ROM?
what ROM value would be expected at time 2?
linear regression equation
y=mx+b
m = regression coefficient
b = constant
how would you calculate what time 2 would be?
for y=mx + b, you are solving for y
plug in ROM at time 1 for x
what regression would you run for the following: Can sitting balance scores significantly predict
standing balance scores in patients following a CVA
in acute care?
linear regression
one predictor (any level of data) and one I/R outcome
what are the 5 assumptions for regression?
1: data must be linear, not curvilinear (scatterplot)
2: data must have normality
3: homoscedasticty of variance
4: data must be free of influential outliers
5: data must be independent of each other
what do you look at the assess if the data has normality?
histograms
skewness
kurtosis
boxplots
Shapiro-wilk test
what is a major concern when meeting the assumptions for a regression?
outliers
how do you tell if a data set is normally distributed when observing a box plot?
The box is roughly symmetric around the median (the line inside the box).
The lengths of the whiskers on both sides are approximately equal.
few or no outliers
how do you tell if a data set is normally distributed when observing a histogram?
Bell-Shaped Curve:
The bars form a peak in the middle and taper off symmetrically on both sides.
Symmetry Around the Mean:
The left and right sides of the peak are roughly mirror images.
Single Peak (Unimodal):
There is one clear central peak, not multiple peaks.
how do you determine if a data set is normally distributed based on kurtosis and skewness?
the values should be inbetween -2 and +2
Shapiro-Wilk test
statistical test used to assess whether a dataset is normally distributed.
we DO NOT want there to be a significant difference
p-value > 0.05 → Fail to reject H₀ → Data appears normal
p-value ≤ 0.05 → Reject H₀
→ Data is not normally distributed
Shapiro Wilk test calculates a _____ statistic
W
small W value → data not normally distributed