STAT 5: Introduction to Multiple Testing Flashcards

1
Q

What is a two sample t-test?

A
  • when you compare two samples with each other
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2
Q

What is a one sample t-test?

A
  • when you compare a group to a specific mean
  • i.e. the mean of a population or a specific group
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3
Q

Give example codes for a two sample t-test and a one sample t-test

A
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4
Q

Give an example of a for a one-tailed two sample t-test

A
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5
Q

What is a paired t-test?

A
  • sometimes called a dependent sample t-test
  • applied when two samples are closed related to each other
  • e.g. measuring the same sample or patient twice, before or after a certain treatment
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6
Q

How do you perform a paired t-test in R?

A
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7
Q

What could happen when data do not fit under the assumptions of a statistical test?

A
  • the probability calculations underlying the test are likely to be incorrect
  • this could increase the chance of false positive or false negative results
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8
Q

What are the three assumptions of the t-test?

A
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9
Q

What is the Family Wise Error Rate?

A
  • the FWER is the probability of getting a false positive if the null hypothesis is true across a group of tests
  • with the increase in the number of tests, the alpha is no longer the type 1 error rate
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10
Q

How do you calculate the FWER?

A
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11
Q

What is ANOVA?

A
  • analysis of variance, or F-test
  • compares the variance within samples with the variance between the samples
  • shows you whether all the values that have been measured in our samples actually come from the same population or whether the observation of at least one group comes from a different population
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12
Q

What is SSW and how do I calculate it?

A
  • sum of squared differences within the group
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13
Q

What is SSB and how do I calculate it?

A
  • the sum of squared differences between the groups
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14
Q
A
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15
Q

How do we calculate the degrees of freedom between groups

A

K - 1

  • K= number of groups/samples
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16
Q

How do you calculate the degrees of freedom within groups?

A

N - K

  • N = total number of observations (sum of all n of each group)
  • K = number of groups/samples
17
Q

How do you calculate the variance between and within groups and the F statistic?

A