AnalyticalMethodValidation

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A small package for analytical method validation, and sample analysis.

For command line interfaces, see juliaquant.

1. read: read csv file(s) into AnalysisTable (See ChemistryQuantitativeAnalysis.jl). Currently, only data from MassHunter Software in wide format is supported.

These function accept AnalysisTable or Batch.

1. qc_report: compute statistics of QC samples.
2. ap_report: compute accuracy, repeatability and reproducibility.
3. recovery_report: compute recovery by prespiked/postspiked.
4. me_report: compute matrix effect by with_matrix/std_solution.
5. stability_report: compute stability in different condition and restoration days.
6. sample_report: average each sample.

1. pivot: transform dataframe into wide format.
2. unpivot: transform dataframe into long format.
3. selectby: select values by specific column, and apply select! as if the values are columns. This function is useful to merge multiple statistical values into specific formats.
4. mean_plus_minus_std: round and merge mean values and standard deviations with "±".
5. add_percentage: add "%".
6. normalize: normalize dataframe by the given normalizer.
7. qualify: replace data out of acceptable range.
8. qualify!: replace data out of acceptable range.

$$a_{d,j } = \dfrac{c_{d, j}}{conc.}$$

$$\mu_{d} = \sum_{j=1}^{n_d} \dfrac{a_{d, j}}{n_d}$$

$$s_{intra}^2 = \dfrac{1}{p}\sum_{i = 1}^{p}\sum_{j = 1}^{n_i} \dfrac{(a_{i, j} - \mu_i)^2}{n_i - 1}$$

$$accuracy_{intra, d} = \mu_{d}$$

$$rsd_{intra, d} = \dfrac{s_{intra}}{accuracy_{intra, d}}$$

$p$: number of days, $n_i$: number of repeats of $i$ th day, $c_{i, j}$: measured concentration of $i$ th day and $j$ th repeat, $conc.$: reference concentration

$$\mu = \dfrac{1}{p}\sum_{i = 1}^{p}\sum_{j = 1}^{n_i} \dfrac{a_{i, j}}{n_i}$$

$$accuracy_{inter} = \sum_{i = 1}^{p} \dfrac{accuracy_{intra, i}}{p} = \mu$$

$$repeatability = rsd_{intra} = \dfrac{s_{intra}}{accuracy_{inter}}$$

$$s_{between}^2 = \sum_{i = 1}^{p} \dfrac{(\mu_i - \mu)^2}{n_d - 1}$$

$$s_{inter}^2 = max\ {0, s_{between}^2 - \dfrac{s_{intra}^2}{\hat{n}}\ }$$

$$\hat{n}=\dfrac{p}{\sum_{i=1}^p\dfrac{1}{n_i}}$$

$$reproducibility = rsd_{total} = \dfrac{\sqrt{s_{inter}^2+s_{intra}^2}}{accuracy_{inter}}$$

Guidelines and Recommendations of the GTFCh

Appendix B - Requirements for the validation of analytical methods p.21~p.22