Confidence Intervals - Revision history

Admin at 21:19, 11 May 2022

2022-05-11T21:19:16Z

Ciskowskid: /* Confidence Interval: Formulas */

2022-05-11T17:05:51Z

‎Confidence Interval: Formulas

Ciskowskid: /* Confidence Interval: Formulas */

2022-05-11T17:04:16Z

‎Confidence Interval: Formulas

Ciskowskid: /* Confidence Interval Formulas */

2022-05-11T16:45:40Z

‎Confidence Interval Formulas

Ciskowskid: /* Confidence Intervals: The Basics */

2022-05-11T16:45:26Z

‎Confidence Intervals: The Basics

Ciskowski003: /* Confidence Intervals: The Basics */

2022-05-04T15:12:15Z

‎Confidence Intervals: The Basics

Ciskowski003: /* Confidence Intervals: The Basics */

2022-05-04T15:07:47Z

‎Confidence Intervals: The Basics

Ciskowski003: /* How to organize an Inference Problem : The Four-Step Process */

2022-05-04T15:04:41Z

‎How to organize an Inference Problem : The Four-Step Process

Ciskowski003 at 14:28, 4 May 2022

2022-05-04T14:28:51Z

Admin at 22:30, 19 November 2019

2019-11-19T22:30:48Z

← Older revision		Revision as of 21:19, 11 May 2022
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		+	==Confidence Intervals: The Basics==
		+
		+	To estimate an unknown population parameter, start with a statistic that will provide a reasonable guess. The chosen statistic is a '''point estimator''' for the parameter. The specific value of the point estimator that we use gives a '''point estimate''' for the parameter.
		+
		+	A '''confidence interval''' gives an interval of plausible values for an unknown population parameter based on sample data. Plausible does not mean the same thing as possible. You could argue that just about any value of a parameter is ''possible''. ''Plausible'' means that we shouldn't be surprised if any one of the values in the interval is equal to the parameter.
		+
		+	The interval estimate has the form ''point estimate ± margin of error''.
		+
		+	When calculating a confidence interval, it is common to use the form ''statistic ± (critical value) ∙ (standard deviation of statistic).
		+
		+	To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."
		+
		+	Reference:
		+
		+	Daren, S. S., & Tabor, J. (2020). ''Updated version of the practice of Statistics (Teachers Edition)'' (Sixth Edition). W H FREEMAN & CO LTD.
		+
		+	''contributed by Katie Ciskowski''
		+

	== Creating Confidence Intervals ==		== Creating Confidence Intervals ==
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−	~~==Confidence Intervals: The Basics==~~
−
−	To estimate an unknown population parameter, start with a statistic that will provide a reasonable guess. The chosen statistic is a '''point estimator''' for the parameter. The specific value of the point estimator that we use gives a '''point estimate''' for the parameter.
−
−	A '''confidence interval''' gives an interval of plausible values for an unknown population parameter based on sample data. Plausible does not mean the same thing as possible. You could argue that just about any value of a parameter is ''possible''. ''Plausible'' means that we shouldn't be surprised if any one of the values in the interval is equal to the parameter.
−
−	~~The interval estimate has the form ''point estimate ± margin of error''.~~
−
−	~~When calculating a confidence interval, it is common to use the form ''statistic ± (critical value) ∙ (standard deviation of statistic).~~
−
−	~~To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."~~
−
−	~~Reference:~~
−
−	~~Daren, S. S., & Tabor, J. (2020). ''Updated version of the practice of Statistics (Teachers Edition)'' (Sixth Edition). W H FREEMAN & CO LTD.~~
−
−	~~''contributed by Katie Ciskowski''~~

	==Confidence Interval: Formulas==		==Confidence Interval: Formulas==

@@ Line 40: / Line 40: @@
 ==Confidence Interval: Formulas==
-[[CI_Formulas.PNG]]
+[[File:CI_Formulas.PNG]]
 ''contributed by David Ciskowski''

← Older revision		Revision as of 17:04, 11 May 2022
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	==Confidence Interval: Formulas==		==Confidence Interval: Formulas==

		+	[[CI_Formulas.PNG]]

	''contributed by David Ciskowski''		''contributed by David Ciskowski''

@@ Line 38: / Line 38: @@
 ''contributed by Katie Ciskowski''
-==Confidence Interval Formulas==
+==Confidence Interval: Formulas==
 ''contributed by David Ciskowski''

← Older revision		Revision as of 16:45, 11 May 2022
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	''contributed by Katie Ciskowski''		''contributed by Katie Ciskowski''
		+
		+	==Confidence Interval Formulas==
		+
		+
		+	''contributed by David Ciskowski''

← Older revision		Revision as of 15:12, 4 May 2022
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	To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."		To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."
−
−

	Reference:		Reference:

← Older revision		Revision as of 15:07, 4 May 2022
Line 31:		Line 31:

	To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."		To interpret a C% confidence interval, say "We are C% confident that the interval from ____ to ____ captures the [parameter in context]."
		+
		+

	Reference:		Reference:

@@ Line 20: / Line 20: @@
-==How to organize an Inference Problem : The Four-Step Process==
+==Confidence Intervals: The Basics==
-'''STATE:''' State the parameter you want to estimate and the confidence level.
+To estimate an unknown population parameter, start with a statistic that will provide a reasonable guess. The chosen statistic is a '''point estimator''' for the parameter. The specific value of the point estimator that we use gives a '''point estimate''' for the parameter.
-'''PLAN:''' Identify the appropriate inference method and check conditions.
+A '''confidence interval''' gives an interval of plausible values for an unknown population parameter based on sample data. Plausible does not mean the same thing as possible. You could argue that just about any value of a parameter is ''possible''. ''Plausible'' means that we shouldn't be surprised if any one of the values in the interval is equal to the parameter.
-'''DO:''' If the conditions are met, perform calculations.
+The interval estimate has the form ''point estimate ± margin of error''.
-'''CONCLUDE:''' Interpret your interval in the context of the problem.
+When calculating a confidence interval, it is common to use the form ''statistic ± (critical value) ∙ (standard deviation of statistic).
 Reference:

← Older revision		Revision as of 14:28, 4 May 2022
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	Meyers, S., Gamst, G., & Guarino, A.J. (2017). Applied multivariate research: Design and interpretation. Thousand Oaks, CA: Sage Publications. (p.24-25)		Meyers, S., Gamst, G., & Guarino, A.J. (2017). Applied multivariate research: Design and interpretation. Thousand Oaks, CA: Sage Publications. (p.24-25)
		+
		+
		+	==How to organize an Inference Problem : The Four-Step Process==
		+
		+	'''STATE:''' State the parameter you want to estimate and the confidence level.
		+
		+	'''PLAN:''' Identify the appropriate inference method and check conditions.
		+
		+	'''DO:''' If the conditions are met, perform calculations.
		+
		+	'''CONCLUDE:''' Interpret your interval in the context of the problem.
		+
		+	Reference:
		+
		+	Daren, S. S., & Tabor, J. (2020). ''Updated version of the practice of Statistics (Teachers Edition)'' (Sixth Edition). W H FREEMAN & CO LTD.
		+
		+	''contributed by Katie Ciskowski''

@@ Line 13: / Line 13: @@
-Contribution by: Mykal Kuslis, WCSU Cohort 8
+''contributed by Mykal Kuslis, WCSU Cohort 8''
 Reference:
 Meyers, S., Gamst, G., & Guarino, A.J. (2017). Applied multivariate research: Design and interpretation. Thousand Oaks, CA: Sage Publications. (p.24-25)