Antilog transformation

Conversion between logarithms and antilogarithms is so common in geochemical models that it is worth showing the error propagation for these special cases of the application of Eq. (2.23). The antilog transformation converts log to so q x) = 10. ... 

Antilog transformation The intercept of a double logarithm plot was used to find that log k= -4.18 0.27. Applying the antilog transform shows that k = 6.61 X 10"5. The error for this value is found using Eq. (2.25). 

Applying the antilog transform to Eq. (8.38) gives a relationship that predicts the concentration of the trace element in the solution as a function of the amount of major element precipitated. 

Subtraction of reference Linear drift subtraction Normalization Averaging Linearization Differential measurements Baseline correction Relative signals Signal quality redundancy Transform functions, e.g., antilog... 

PK data The PK parameters of ABC4321 in plasma were determined by individual PK analyses. The individual and mean concentrations of ABC4321 in plasma were tabulated and plotted. PK variables were listed and summarized by treatment with descriptive statistics. An analysis of variance (ANOVA) including sequence, subject nested within sequence, period, and treatment effects, was performed on the ln-transformed parameters (except tmax). The mean square error was used to construct the 90% confidence interval for treatment ratios. The point estimates were calculated as a ratio of the antilog of the least square means. Pairwise comparisons to treatment A were made. Whole blood concentrations of XYZ1234 were not used to perform PK analyses. 

The primary parameter AUCo-oo was subjected to an analysis of variance (ANOVA) including sequence, subject nested within sequence (subject (sequence)), period and treatment (non-fasting/fasting) effects. The sequence effect was tested using the subject (sequence) mean square from the ANOVA as an error term. All other main effects were tested against the residual error (error mean square) from the ANOVA. The ANOVA was performed on ln-transformed data. Lor ratios 90 % confidence intervals were constructed. The point estimates and confidence limits were calculated as antilogs and were expressed as percentages. The... 

Parametric methods, i.e. those based on normal distribution theory, are recommended for the analysis of log-transformed bioequivaience measures. The general approach is to construct a 90% confidence interval for the quantity pT-pR and to reach a conclusion of pharmacokinetic equivalence if this confidence interval is within the stated limits. The nature of parametric confidence intervals means that this is equivalent to carrying out two one-sided tests of the hypothesis at the 5% level of significance 10, 77). The antilogs of the confidence limits obtained constitute the 90% confidence interval for the ratio of the geometric means between the multisource and comparator products. 

Sigma g (geometric standard deviation, ug is the arithmetic antilog of the standard deviation of a normal population of logs of aerosol diameters, surface areas, volumes, or masses. Each of these different measures of aerosol size is log-normaUy distributed, o-g is dimensionless. Using antilogs to transform them to arithmetic numbers makes the distribution easier to understand. 

Geometric Mean The natural antilog of the mean of a set of natural log-transformed data. 

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