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Introduction to Confidence Intervals definitions
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Confidence Interval
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Confidence Interval
A range of values constructed to likely contain a population parameter, offering more insight than a single estimate.
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이 집합의 용어 (15)
하이드의 정의
Confidence Interval
A range of values constructed to likely contain a population parameter, offering more insight than a single estimate.
Population Parameter
A fixed, usually unknown value that describes a characteristic of an entire group being studied.
Point Estimate
A single value, such as x̄, used as the best guess for an unknown population parameter.
Confidence Level
The probability, often expressed as a percentage, that a constructed interval contains the true parameter.
Alpha
The probability that the true parameter falls outside the confidence interval, calculated as 1 minus the confidence level.
Margin of Error
The maximum expected difference between a point estimate and the actual parameter, defining the interval's width.
Critical Value
A z-score that marks the endpoints of a confidence interval, determined by the chosen confidence level.
Standard Normal Distribution
A bell-shaped curve with mean zero and standard deviation one, used to find probabilities and z-scores.
Z Score
A standardized value indicating how many standard deviations a point is from the mean in a normal distribution.
Endpoint
A value at either extreme of a confidence interval, calculated by adding or subtracting the margin of error from the estimate.
Interval Notation
A compact way to express a confidence interval using parentheses to show its lower and upper bounds.
Tail
The area under the curve outside the confidence interval, representing the probability of extreme values.
Z Table
A reference chart listing cumulative probabilities for standard normal z-scores, used to find critical values.
Complement
The probability of all outcomes not included in a specified event, such as 1 minus the confidence level.
Y Hat
A symbol representing the point estimate for a population parameter, often used in constructing intervals.