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1 Samples and populations. |
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Nobody is listening to me. |
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Relative standard deviation . |
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Confidence interval for the population mean. |
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How much moisture is in the raw material? |
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3 Exploratory data analysis. |
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Histograms: is the process capable of meeting specifications? |
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Box plots: how long before the lights go out? |
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The box plot in practice. |
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The significance testing procedure. |
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Confidence intervals as an alternative to significance testing. |
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Confidence interval for the population standard deviation. |
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F-test for ratio of standard deviations. |
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5 The normal distribution. |
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Properties of the normal distribution. |
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Setting the process mean. |
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Uses of the normal distribution. |
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Confidence intervals and tolerance intervals. |
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8 Significance tests for comparing two means. |
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Example: watching paint lose its gloss. |
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The two-sample t -test for independent samples. |
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An alternative approach: a confidence intervals for the difference between population means. |
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Sample size to estimate the difference between two means. |
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Confidence intervals for the difference between the two suppliers. |
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Sample size to estimate the difference between two means. |
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9 Significance tests for comparing paired measurements. |
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The paired sample t -test. |
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Presenting the results of significance tests. |
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One-sided significance tests. |
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10 Regression and correlation. |
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Obtaining the best straight line. |
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Confidence intervals for the regression statistics. |
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Extrapolation of the regression line. |
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Is there a significant relationship between the variables? |
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How good a fit is the line to the data? |
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11 The binomial distribution. |
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A quality assurance example. |
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What is the effect of the batch size? |
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12 The Poisson distribution. |
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Fitting a Poisson distribution. |
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Are the defects random? The Poisson distribution. |
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Confidence intervals for a Poisson count. |
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A significance test for two Poisson counts. |
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How many black specks are in the batch? |
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How many pathogens are there in the batch? |
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13 The chi-squared test for contingency tables. |
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Two-sample test for percentages. |
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Comparing several percentages. |
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Where are the differences? |
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14 Non-parametric statistics. |
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A test for two independent samples: Wilcoxon–Mann–Whitney test. |
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A test for paired data: Wilcoxon matched-pairs sign test. |
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What type of data can be used? |
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15 Analysis of variance: Components of variability. |
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Variation less than chance? |
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When should the above methods not be used? |
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Between- and within-batch variability. |
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How many batches and how many prawns should be sampled? |
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16 Cusum analysis for detecting process changes. |
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Localised standard deviation. |
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Conclusions from the analysis. |
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Choosing the rounding scale. |
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Reporting purposes: deciding the amount of rounding. |
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Reporting purposes: rounding of means and standard deviations. |
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Recording the original data and using means and standard deviations in statistical analysis. |
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