univariate statistical analysis Flashcards
(12 cards)
hypothesis
a proposed explanation for a phenomenon
null hypothesis
asserts that any change from what has thought to be true will be due entirely to random sampling error
alternative hypothesis
a statement indicating the opposite of the null hypothesis
the decision rule
- the critical probability in choosing between the null and alternative hypothesis
- the probability level that is too low (e.g. less than 0.05 at the 95% confidence level) to warrant support of the null hypothesis - that is to reject the null hypothesis when the significance value is less then 0.05
Type 1 error
reject null hypothesis when it is true
type 2 error
accept hypothesis when it is false
choosing the appropriate statistical technique
1) type of questions to be answered
2) number of variables
3) scale of measurement
parametric procedures
- ratio scale data
- interval scale data
- large sample size
- normal distribution assumption
non parametric procedures
- nominal scale data
- ordinal scale data
- distribution free
t distribution
. it has a mean of zero and a standard deviation equal to one
- provides a mathmatical way of determining if the difference between the two sample means occurred by chance
one sample t test
compares the mean of a single sample to a known or hypothised value
- e.g. comparing sample mean to a neutral value on a 5-point scale
- null = the population mean is equal to a specified value
Chi-square test for goodness of fit
- determines whether the difference between the observed and expected frequency distribution can be attributed to sampling variation