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II. B. 2. Statistical Interval Estimates

by Fred Schenkelberg Leave a Comment

Confidence Interval Interpretations and Misunderstandings

Confidence Interval Interpretations and Misunderstandings

Confidence intervals (CIs)provide a means to judge point estimates based on a sample from the population.

If that statement excites you, you may well have the makings of a fine statistician.

CIs are a form of internal estimate and specify a range within which a parameter may reside. CIs helps us evaluate the trustworthiness of point estimates. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates

by Fred Schenkelberg 6 Comments

Success Testing Formula Derivation

Success Testing Formula Derivation

The planning of environmental or reliability testing becomes a question of sample size at some point.

It’s probably the most common question I hear as a reliability engineer – how many samples do we need. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Sample Size Determination, Statistical Interval Estimates

by Fred Schenkelberg Leave a Comment

Confidence Interval for a Proportion – Normal Approximation

Confidence Interval for a Proportion – Normal Approximation

Edited by John Healy

There are a number of different methods to calculate confidence intervals for a proportion. The normal approximation method is easy to use and is appropriate in most cases.

Clopper and Pearson describe the Clopper-Pearson method also called the exact confidence interval and we’ll describe it in a separate article.

There are other methods, which again will find a description in separate articles. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates

by Fred Schenkelberg 8 Comments

Confidence Intervals for MTBF

Confidence Intervals for MTBF

EDITED BY JOHN HEALY

As with other point estimates, we often want to calculate the confidence interval about the estimate. The intent is to determine the range of reasonable values for the true and unknown population parameter. For MTBF, this no different.

[Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates

by Fred Schenkelberg 1 Comment

Confidence Interval for Variance

Confidence Interval for Variance

When using a sample to calculate a statistic we are estimating a population parameter. It is just an estimate and the sample due to the nature of drawing a sample may not create a value (statistic) that is close to the actual value (parameter). [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates

by Fred Schenkelberg 2 Comments

Point and Interval Estimates

Point and Interval Estimates

A point estimate of the mean of a population is determined by calculating the mean of a sample drawn from the population. The calculation of the mean is the sum of all sample values divided by the number of values. [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates

by Fred Schenkelberg 4 Comments

Statistical Confidence

Statistical Confidence

An error that I see on occasion is the use of statistical confidence with a goal or target value. For example, we want 95% reliability at five years with 90% confidence. What does that mean? [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Normal Distribution, Standard Deviation, Statistical Interval Estimates

by Richard Coronado 1 Comment

Confidence Limits

Confidence Limits

Last week during our CRE Test Prep class, we were covering the Basic Statistics section in the CRE Primer and had several questions regarding Confidence Limits for Reliability.

All of them were fair questions, and when students are asking these types of questions, the class gets better… [Read more…]

Filed Under: Articles, CRE Preparation Notes, Probability and Statistics for Reliability Tagged With: Statistical Interval Estimates, statistics

CRE Preparation Notes

Article by Fred Schenkelberg

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