Paul J. Mitchell

Experimental Design and Statistical Analysis for Pharmacology and the Biomedical Sciences


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protein and pain.Table 19.9 Serum C‐reactive protein and pain – rank values.Table 19.10 Serum C‐reactive protein and pain.Table 19.11 Correlation analysis of serum C‐reactive protein and pain.Table 19.12 Comparison of GP vacancies and lost working days.Table 19.13 Correspondence of assigned rank values for C‐reaction protein a...

      19 Chapter 20Table 20.1 Urinary protein levels throughout pregnancy.Table 20.2 Regression analysis of urinary protein levels throughout pregnanc...Table 20.3 Linear regression ANOVA.Table 20.4 Degradation of atropine sulphate solution.Table 20.5 Degradation of atropine sulphate solution: transformed data.Table 20.6 Linear regression ANOVA; atropine degradation.Table 20.7 Colorimetric assay of methylene blue.Table 20.8 Log10 transformation of methylene blue absorbance data.Table 20.9 Methylene blue absorbance data: transformed data.Table 20.10 Linear regression ANOVA; methylene blue absorbanceTable 20.11 Summary of calculated unknown concentrations of methylene blue....

      20 Chapter 21Table 21.1 Summary of age and colour preference.Table 21.2 Summary of age and colour preference: column and row totals.Table 21.3 Summary of age and colour preference: expected frequencies.Table 21.4 Summary of age and colour preference: expected frequencies.Table 21.5 Summary of age and colour preference: standardised residuals.Table 21.6 Gender bias, rheumatoid, and osteoarthritis.Table 21.7 Gender bias and arthritic disease.Table 21.8 Heart disease and treatment.Table 21.9 3 × 3 contingency table, observed frequencies.Table 21.10 3 × 3 contingency table, observed and expected frequencies.Table 21.11 3 × 3 contingency table, observed and expected frequencies.Table 21.12 3 × 3 contingency table, contributions to χ 2.Table 21.13 3 × 3 contingency table, contributions to χ 2.

      21 Chapter 23Table 23.1 Hypothetical control and test data.Table 23.2 Summary of hypothetical control and test data.Table 23.3 All possible permutations of hypothetical control and test data....Table 23.4 All possible permutations of hypothetical control and test data....Table 23.5 Example factorial values.Table 23.6 Example total permutations, without repetition.

      22 2 Table B.1 AUC values for z values below the mean (i.e. −z). Table B.2 AUC values for z values above the mean (i.e. +z).

      23 4Table D.1 Critical values for U; One‐tailed test, p = 0.05.Table D.2 Critical values for U; One‐tailed test, p = 0.01.Table D.3 Critical values for U; Two‐tailed test, p = 0.05.Table D.4 Critical values for U; Two‐tailed test, p = 0.01.

      24 5Table E.1 Critical values of F, p = 0.05.Table E.2 Critical values of F, p = 0.01.Table E.3 Critical values of F, p = 0.001.

      25 7 Table G.1 Critical values of z according to the number of comparisons. Table G.2 Alternative critical values of z according to the number of compar...

      26 8 Table H.1 Pearson product moment correlation. Table H.2 Spearman rank correlation. Table H.3 Kendall's rank correlation (Kendall's tau).

      List of Illustrations

      1 Chapter 1Figure 1.1 The effect of mesulergine on mCPP‐induced hypolocomotion. V...Figure 1.2 Excel spreadsheet showing original rodent locomotor activity data...Figure 1.3 Phenylephrine‐induced contraction of the rat anococcygeus muscle....

      2 Chapter 3Figure 3.1 Estimation of pH: precision and accuracy. Summary of data from Ta...Figure 3.2 Measurement of cell population in quadruplicate. Figure 3.3 Multiple estimates of cell population in quadruplicate. Figure 3.4 Comparison of the accuracy and precision of two pH metres.

      3 Chapter 4Figure 4.1 A data sample is a random set of values drawn from the parent pop...Figure 4.2 The discrete uniform distribution. X‐axis values indicate the res...Figure 4.3 The Bernoulli distribution. X‐axis values indicate the resulting ...Figure 4.4 The binomial distribution. 250 undergraduate students were asked ...Figure 4.5 The exponential distribution. The probability density function of...Figure 4.6 Plasma concentration of drug X following intravenous administrati...Figure 4.7 The Normal Distribution curve, N(30,2). The Normal Distribution c...Figure 4.8 The Chi‐square distribution. The probability density functi...Figure 4.9 The t‐distribution. The probability density function of the...Figure 4.10 The F distribution. The probability density function of the F di...

      4 Chapter 5Figure 5.1 Normal Distribution curves. The probability density function of t...Figure 5.2 Predicted Normal Distribution curves for undergraduate female (n ...Figure 5.3 Positively skewed distribution of blood lymphocytes (10 6 cells p...Figure 5.4 Negatively skewed distribution of blood lymphocytes (10 6 cells p...Figure 5.5 A leptokurtic distribution shown by 106 undergraduate female stud...Figure 5.6 A platykurtic distribution shown by 128 male and female 6th form ...

      5 Chapter 6Figure 6.1 Homogeneity of variance. Normal distribution curves for data sets...Figure 6.2 Heterogeneity of variance. Normal distribution curves for data se...Figure 6.3 Histogram plot of lymphocyte number per ml of blood following Log Figure 6.4 Histogram plot of lymphocyte number per ml of blood following squ...Figure 6.5 Histogram plot of lymphocyte number per ml of blood following ant...

      6 Chapter 7Figure 7.1 Comparison of the normal distribution curve, N(30, 2), (top panel...Figure 7.2 Areas under the curve of the standard normal distribution corresp...Figure 7.3 Areas under the curve of the standard normal distribution corresp...Figure 7.4 Areas under the curve of the standard normal distribution corresp...Figure 7.5 Areas under the curve of the standard normal distribution corresp...Figure 7.6 Probability of male and female students being at least 1.7 m in h...

      7 Chapter 8Figure 8.1 Head shake behaviour exhibited by 15 male Wistar rats during a 10...Figure 8.2 Box and Whisker plot of head shake behaviour exhibited by 15 male...

      8 Chapter 9Figure 9.1 Sequential decisions to identify data distribution.Figure 9.2 Histogram of height data obtained from 40 undergraduate female st...Figure 9.3 Histogram of height data for 12