Exam 3 Flashcards

1
Q

follows a bell-shaped curve using 2 parameters, mean and standard deviation, yo distinguish one normal curve from another

A

normal distribution

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2
Q

has mean 0 and standard deviation equal to 1
N(0,1)

A

standard normal distribution

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3
Q

how do you find a z score for a normal distribution?

A

sample stat - null / standard error

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4
Q

what is the central limit theorem?

A

for random samples with sufficiently large sample size, the distribution of many common sample statistics can be approximated with a normal distribution

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5
Q

where is the shape of a normal distribution centered at?

A

population mean

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6
Q

if a randomization distribution is normally distributed, N(__, __)

A

N(null value, SE)

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7
Q

the t-distribution shape is ____ and is centered at _____

A

bell-shaped
0

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7
Q

when do you use theoretical methods?

A

when sample is large
n>30, or n>50 if skewed
or
population data is normally distributed

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8
Q

when can we use the difference in two proportions?

A

when the successes and failures for each group is > 10

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9
Q

when can you use a confidence interval or hypothesis test for a difference in means?

A

n>/ 30 if not skew
n>/50 if skew
data is symmetrical

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10
Q

what test do you use when you have one categorical variable and many groups?

A

chi square goodness of fit

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11
Q

what test do you use when you have 2 categorical variables and many groups?

A

chi square test for association/independence

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12
Q

how do you find an expected value for a chi square goodness of fit test?

A

n(p)
n = sample size
p = proportion for that specific group

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13
Q

how do you find a chi square statistic?

A

(observed-expected)^2 / expected

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14
Q

assumption/condition for a chi square goodness of fit test for one categorical variable

A

expected count is larger than 5 for all groups

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15
Q

what is the null hypothesis for a chi-squared test for independence?

A

variables are not associated/variables are independent

16
Q

what is the alternative hypothesis for a chi-squared test for independence?

A

variables are associated/variables are dependent

17
Q

when can you use a chi-squared test for independence?

A

when expected counts are > 5

18
Q

expected count for a chi-squared test of independence =

A

(row total x column total) / sample size

19
Q

a one way ANOVA uses what variable(s)?

A

one quantitative and one categorical

20
Q

what is the null and alternative hypothesis for a one way ANOVA?

A

Ho: all means are the same
Ha: at least one mean is different

21
Q

when can you use a one way ANOVA?

A

sample size is large enough that n>30 or n>50 if skewed
data is normally distributed
equal variance (no standard deviation per group is more than 5x the other)

22
Q

total variability = _____ + _____

A

variability between groups + variability within groups?

23
Q

what is the test statistic for a one way ANOVA?

A

F = between group variability/within group variability

24
Q

higher F = ____ difference, ____ Ho

A

more difference
reject Ho

25
Q

what is a pairwise t-test?

A

a follow up test from an ANOVA that tests the difference in two means for each pair of samples/groups