Advanced Production Statistics
Advanced Production Statistics moves you from Data to Information to Knowledge and finally to Wisdom. You can use any statistical test in any formula, so use the right test.
The biggest challenge with statistics is not applying a statistical methodology to data but applying the correct statistical methodology to the data. About 50% of medical studies using statistics, use the wrong statistical methodology. The challenge is that you can put any data in any statistical test and come up with an answer.
You must answer your statistical questions before you start your analysis. What are you looking to find out? Do you want to know if your sample accurately represents the population? Finally, are you concerned with the distribution of your test data?
Important questions to consider regarding advanced production statistics:
- firstly, is your data normally distributed or not,
- is your data discrete or continuous,
- what is the best probability distribution that models your data,
- are you worried about central tendency or distribution,
- above all should you engage a statistician or not,
- are you worried about treatments, and
- so on.
| Test Name | What is tested | Test Statistic | Goal | Distribution Requirement or Test |
| ANOVA | Mean | F-Statistic | Measurement variation | Normal |
| Gage R&R | Measurement Variation | |||
| Kappa Analysis | Repeatability & Reproducibility | K-Statistic | Test measurement error | None |
| Anderson-Darling Normality Test | Normal distribution | A-Squared p-Value | Do samples conform to a normal distribution | Tests against normality |
| Binomial | Probability of discrete events | p-Value | Probabilities of discrete events | Assigns discrete probabilities |
| One-Sample Proportion Test | Mean | Z-Statistic | Statistics of discrete events | Z Distribution |
| F-Test | Variance | F-Statistic | Valuable when deviating from normality | F Distribution |
| Mann-Whitney Test | Medians | W-Statistic Z-Statistic | Non-parametric test. The mean of samples are the same | Not Normal Distribution |
| Levene’s Test | Variances are equal | L-Statistic | Non-parametric test. Variances are the same. | F Distribution |
| Mood’s Test | Median | chi2-Statistic | Non-parametric test. Medians are equal. | Chi2 Distribution |
| Friedman’s Test | Treatments | F-Statistic | Treatments are equal | Chi2 Distribution |
In Conclusion
Advanced Production Statistics represent the tools needed to move from data to wisdom. Bypass the challenges and march towards wisdom today.