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Chi-squared test statistic (interp)
Difference between observed data and expected data
Larger = bigger discrepancy = potential association
Chi square critical value (what, how)
Threshold for statistical significance. If calculated value >, suggests sig diff
df and alpha/significance level
df = rows-1*columns-1, sig commonly .05
SD levels and %
0.5 = 38%
1 = 68%
1.5 = 87%
2 = 95%
2.5 = 98.7%
3 = 99.7%
Assumptions of statistical procedures (4)
Normal hom0 in line
Normal distribution
Homogeneity of variance
Independence
Linearity
Standard error of the mean (SEM) (def, equ, note)
How close your sample mean is likely to be to the true population mean
SEM = sample SD/square root of sample size
Smaller SEM = greater confidence
SEM decreases with sample size increase
Mann-Whitney U test (def)
Non-parametric for t test
When data is non-normally distributed or small samples
Coefficient of variation (def)
Shows relative variability
Ratio of SD to mean
Lower = greater consistency, less variability
Coefficient of determination (name, def)
R2
How much of the variation in dependent variable is explained by the independent variable in a regression
Range from 0 to 1
x% of the data’s variation is explained by the model
CI calculation (95%)
mean +- 1.96*SEM
SEM = SD/(sqrt of n)
Commenting on CI
“We are 95% confident that the true mean systolic BP of the population lies between x and y. this interval is narrow, reflecting the large sample size”
Log rank test (def, alt name, use)
Non-parametric test to compare survival distributions of two+ groups
Mantel-cox test
Determine if there is a significant difference in the time until an event