Statistics/Stat Approaches Flashcards
Mean
Addition of all samples divided by number of samples
Median
Point above which have of the observations fall
- not affected by outliers
- more accurate than the “average” in skewed distributions
Mode
Most common observed variable
Right Skewed Distribution
Tail is on the right hand side
Left Skewed Distribution
Tail is on the left hand side
Measures of spread (2)
1) Range
2) Percentile
3) Variance
4) Standard Deviation
Box and Whisker plot contains: (7)
1) High outlier
2) Maximum whisker
3) Upper quartile (Q3)
4) Median
5) Lower quartile (Q1)
6) Minimum whisker
7) Low Outlier
Variance
S^2
is the sum of the squares of differences from the mean / degrees of freedom minus 1
S^2 = (difference)^2 + (difference)^2 / (n-1)
Standard Deviations
S
- square root of the sample variance
- estimates average variation of n-values from the mean
- tells us how much variability is expected among individuals
Binary or dichotomous data
numbers or % in each category
yes/no style answers
Nominal Data
number and % of subjects in each category
Ordinal Data
Numbers and % of subjects in each category
- median
- smallest and largest
- values/range
Quantitative Data
Graph and visualize the distribution
- mean/median/mode
- smallest and largest
- values/range
- percentiles
- variances
- standard deviations
How are confidence intervals derived and interpreted
Ex) 95% CI
- The interval from ___ to ___ has a 95% chance (probability) to contain the true population mean
- greater sample size = smaller CI
Concept of hypothesis testing and steps (3)
- Hypothesis testing involves comparison of groups
1) Test statistic (t-distribution, z-dist, f-dist)
2) P-value
3) p-value compared to alpha (0.05, 0.1, etc)