pystatpower.models.mean.single.ci ¶

Functions:

Name	Description
`solve_half_width`	Calculate the half-width of the confidence interval for one mean.
`solve_size`	Calculate the sample size required for the half-width of one mean confidence interval.
`solve_std`	Calculate the standard deviation required for the half-width of one mean confidence interval.

solve_half_width ¶

solve_half_width(*, std: float, size: int, conf_level: float = 0.95, interval_type: Literal['one-sided', 'two-sided'] = 'two-sided', method: Literal['z', 't'] = 't') -> float

Calculate the half-width of the confidence interval for one mean.

Parameters:

Name	Type	Description	Default
`std`	`float`	Standard deviation (\(\sigma\)). If `method='t'`, provide the sample standard deviation (\(S\)).	required
`size`	`int`	Sample size (\(n\)).	required
`conf_level`	`(float, Optional)`	Confidence level.	`0.95`
`interval_type`	`Literal['one-sided', 'two-sided']`	The type of confidence interval.	`'two-sided'`
`method`	`Literal['z', 't']`	The distribution used to construct the confidence interval.	`'t'`

solve_size ¶

solve_size(*, half_width: float, std: float, conf_level: float = 0.95, interval_type: Literal['one-sided', 'two-sided'] = 'two-sided', method: Literal['z', 't'] = 't') -> int

Calculate the sample size required for the half-width of one mean confidence interval.

Parameters:

Name	Type	Description	Default
`half_width`	`float`	Half-width of the confidence interval (\(d\)).	required
`std`	`float`	Standard deviation (\(\sigma\)). If `method='t'`, provide the sample standard deviation (\(S\)).	required
`conf_level`	`(float, Optional)`	Confidence level.	`0.95`
`interval_type`	`Literal['one-sided', 'two-sided']`	The type of confidence interval.	`'two-sided'`
`method`	`Literal['z', 't']`	The distribution used to construct the confidence interval.	`'t'`

solve_std ¶

solve_std(*, half_width: float, size: int, conf_level: float = 0.95, interval_type: Literal['one-sided', 'two-sided'] = 'two-sided', method: Literal['z', 't'] = 't') -> float

Calculate the standard deviation required for the half-width of one mean confidence interval.

Parameters:

Name	Type	Description	Default
`half_width`	`float`	Half-width of the confidence interval (\(d\)).	required
`size`	`int`	Sample size (\(n\)).	required
`conf_level`	`(float, Optional)`	Confidence level.	`0.95`
`interval_type`	`Literal['one-sided', 'two-sided']`	The type of confidence interval.	`'two-sided'`
`method`	`Literal['z', 't']`	The distribution used to construct the confidence interval.	`'t'`