Understanding 95% Confidence Intervals in Statistics
Confidence intervals are a key concept in statistics that provide a range within which the true value of an estimate is likely to fall. This video series explores the interpretation of 95% CIs, compares them to standard error and standard deviation, and explains how sample size and standard deviation impact the width of the confidence intervals.
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Presentation Transcript
95% Confidence Intervals 1) Interpreting 95% CI 2) Compare CI, SE and sd 3) Effect of sd and n on 95% CI s Note: This video follows the videos addressing Standard Error and calculating 95% CI s 1
What is a 95% Confidence Interval? If we repeated our experiment many times and calculated a 95% CI each time, the 95% CI s would include the true value (assuming assumptions are met) 95% of the time. 2
What is a 95% Confidence Interval? If we repeated our experiment many times and calculated a 95% CI each time, the 95% CI s would include the true value (assuming assumptions are met) 95% of the time. 3
What is a 95% Confidence Interval? Review: compare standard deviation, SE, 95% CI s: A less technical view: 95% CI s provide a plausible range for the true value we aim to estimate. 8 6 4 2 sd and n affect SE and CI similarly. 0 sd CI SE 4