Pop/Hypothesis Flashcards

1
Q

population

A

universe of things

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2
Q

parameter

A

characteristic of population - almost always unobservable

Mean US household income

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3
Q

sample

A

subset of population - cannot observe pop so collect sample

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4
Q

Population: all with PD
Sample: ____

A

100 patients with PD who are seen at Banner over 5 year period

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5
Q

parameter

A

characteristic of populatuon

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6
Q

estimate of pop parameter

A

computed using data from sample we hope is near true value of parameter
statistic

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7
Q

any computed measure from sample

A

statistic

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8
Q

sample: 100 patients with PD who are seen at Banner over 5 year period
estimate: _____

A

32/100 have dementia

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9
Q

law of large numbers

A

as sample size increases, we expect sample mean to be closer to true mean

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10
Q

central limit theorem

A

as sample size increase sampling distribution of sample mean looks more and more bell shaped

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11
Q

what does statistical significance of 0.05 mean

A

an observed result is regarded as statistically significant if it had a 5% or smaller likelihood of occurring simply due to chance

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12
Q

type I error

A

rejecting null when null is true (FP)

alpha usually set to 0.05

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13
Q

type II error

A

fail to reject null when null is false (FN)

beta

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14
Q

hypothesis testing procedure

A

1) specify null and alternative
2) choose alpha, prob of making type I error (0.05)
3) compute some value from data (test statistic)
4) compute p value based on test statistic
5) if p value

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15
Q

P value

A

probability of observing data as supportive or more supportive of the alternative hypothesis than the actual data

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16
Q

two tailed test vs one tailed test example

A

two tailed H0: the blood pressure before treatment doesn’t equal blood pressure after treatment
one tailed H0: the blood pressure after treatment will decrease

differnece in medicines, or one medicine better than other

17
Q

why to use two-sided

A

conservative: if 2-sided significant then one sided will be too
prevents concerns that you may have chosen direction of alt hypothesis after seeing data

18
Q

causes of type I error

A

chance, inappropriate methods or assumptions about data

19
Q

cause of type 2 error

A

low statistical power

sample size too small

20
Q

power calculation

A

1-Beta (typeIIerror)

21
Q

avoiding type ii error

A

increase power by increasing sample size

22
Q

power depends on

A

sample size, size of true underlying effect, variability in measurements, chosen significance level and its sidedness, type of analysis

23
Q

decreasing sample size while maintaining statistical power

A

reduce number tx groups
find more precise measurement
decrease variability in measurements (make subjects more homogeneous, use stratification, average multiple measurements on each subject)

24
Q

properties of normal distribution

A

bell-shaped
mean = median = mode
symmetric
tails are asymptotic (never touch the x)

25
Q

standard normal distribution

A

mean 0 and standard deviation 1

26
Q

why is normal distribution important

A

lots of bio measurements normal approx

CLT: when add/average lots of independent things, result tends to follow normal distrubtion

27
Q

68-95-99

A
  • 68% of all observations/measures are between -1 SD and +1 SD
  • 95% of all observations/measures are between -2 SD and +2 SD
  • 99.7% of all observations/measures are between -3 SD and +3 SD
28
Q

probability

A

Probability is the proportion of times that an event would occur in an infinitely long series of identical experiments

29
Q

CI

A

‘95% confident that the mean bp is between 135 and 145 mm Hg’, using ‘confident’ as a technical term.
o Give the formal interpretation: ‘In 95% of repeated experiments, the confidence interval would contain the mean bp.