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Statistical Inference flashcards

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What does “Confidence-Interval Construction” mean?Confidence Intervals
An estimate surrounded by a procedure-based margin of uncertainty.
What important condition applies to confidence-interval construction?Confidence Intervals
Check the procedure and multiplier before interpreting coverage.
What does “Margin and Total Width” mean?Confidence Intervals
The difference between an uncertainty margin and the interval’s complete span.
What important condition applies to margin and total width?Confidence Intervals
Do not confuse a one-sided margin with full interval width.
What does “Standardized Test Statistics” mean?Hypotheses and P-Values
A discrepancy from a null hypothesis measured in standard-error units.
What important condition applies to standardized test statistics?Hypotheses and P-Values
Specify the reference distribution and alternative before obtaining a p-value.
What does “P-Values and Decisions” mean?Hypotheses and P-Values
A tail-area measure of data incompatibility with a specified null model.
What important condition applies to p-values and decisions?Hypotheses and P-Values
A p-value is not P(H₀ is true).
What does “Confidence-Level Interpretation” mean?Interpreting Conclusions
The long-run coverage performance of an interval procedure.
What important condition applies to confidence-level interpretation?Interpreting Conclusions
Confidence refers to the repeated procedure, not a probability assigned to a fixed parameter.
What does “Type I Errors and Multiple Testing” mean?Interpreting Conclusions
False-positive errors considered across a collection of hypothesis tests.
What important condition applies to type i errors and multiple testing?Interpreting Conclusions
A nominal single-test error rate does not control an entire collection automatically.