TERM 1
Chi-square distribution
DEFINITION 1
In probability theory and statistics, the chi-squared
distribution with k degrees of freedom is the distribution of a
sum of the squares of k independent standard normal
random variables. df =k-m-1
TERM 2
Expected frequencies of all cells must be
greater than or equal to 5
DEFINITION 2
Cochran's Rule: All expected frequencies should be at least 5
TERM 3
Chi-square goodness-of-fit (GOF) test for
multinomial or uniform distribution
DEFINITION 3
helps you decide whether your sample could have been
drawn from a particular type of populationthe chi-square test
will be used because it it versatile and easy to understand
TERM 4
Multinomial distribution (characteristics & null
hypo for GOF test)
DEFINITION 4
similar to the binomial distribution except there are three or
more categoris of outcomeis defined by any k probabilities
1,2,,..k that sum of unityM&Ms candy color is an exampleno
parameter but 6 different colors of M&Ms so df=6-m-
1=50.025 & 5 = 12.833
TERM 5
Chi-square test of independence of two
qualitative variables
DEFINITION 5
df= (r-1)(k-1)r= row k=columnrow/total -> for bothcolumn x
each row totalindividual total x percentage from above
equation then square/ same percentageadd all total and
compare to the critical value found on table A.7
