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Lecture

# SOC202H1 Lecture Notes - Sampling Distribution, Standard Error

Department
Sociology
Course Code
SOC202H1
Professor
Scott Schieman

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February 5th
Sampling Distributions & Confidence Intervals
-sample to sample variability
how much variation do you have from sample to sample
calculate standard deviation; little consensus if there is a large SD
less spread around the mean = smaller SD = more consensus
-large standard error = less reliability in sample
standard deviation is numerator for formula of standard error
denominator is sample size
larger denominator = better because it spreads out more; therefore a
decreases standard error
-sampling distribution of means: taking samples over and over again and plotting the means
-large error term: large sample to sample variability and wide confidence intervals
-larger CI = size of error term
*Analytical Thinking Exercises
1) Standard error would increase; greater sample to sample variability
Size of error term would increase
Width of CI would widen
Value of upper critical limit would increase and value of lower critical limit would
decrease
3) Standard error stays the same (does not depend on CI)
Size of error term increases
Value of critical Z-score increases
Width of CI widens
Value of upper critical limit would increase and value of lower critical limit would
decrease
2.58 = 99% CI
1.96 = 95% CI
4) Standard error increases
Error term increases
CI widens
Value of upper critical limit would increase and value of lower critical limit would
decrease

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