4. Basic Statistics II Flashcards
measures of dispersion versus measure of central tendency?
measure of central tendency = describe the typical or central value in a distribution (mean median mode)
measures of dispersion = describe the spread of the data (range standard deviation)
standard deviation
measures the amount of variation or dispersion from the average
low sigma (sign for SD) = data points tend to be close to mean
large sigma (sign for SD) = data points spread out
variance
directly related to standard deviation
it is the square of SD
sigma squared
nominal data
nominal referes to categorically discrete data such as name
Norminal = name
ordinal data
data that has a discrete ranking
grades
ordinal = order
interval data
numerical data that is measured along a scale
example is temp in F
ratio data
ratio data is interval data with a natural zero point
no negative numbers
why does data type matter?
cannot add or subtract nominal data or ordinal data
rank the measurements from less detailed to more detailed
norminal
ordinal
metric
alternate vs null hypothesis
alternate hypothesis = statement that there is a difference between two events
null hypothesis = statement that there is no difference between two events
statistical significance
statistical significance is the probability of rejecting the null hypothesis due to chance alone
expressed as P value
Smaller the P value the less likely it is that the results are due to chance and more likely the results are true
P-value
smaller than 0.05 favored the alternate hypothesis
large than 0.05 favored the null hypothesis
statistical significance chart
statistical significance and null hypothesis
if the sample data are consistent with the null hypothesis then we fail to reject the null hypothesis
if the sample data are inconsistent with the null hypothesis then reject the null hypothesis
only two options of statistical analysis
fail to reject the null hypothesis
reject the null hypothesis