LoBD.RdA portion of an experiment to determine the limit of blank/limit of detection in a biochemical assay.
LoBDA data frame with 84 observations on the following 9 variables.
poola factor with levels 1 2 3 4
5 6 7 8 9 10 11 12
denoting the 12 pools used in the experiment;
each pool had a different level of drug.
I1L1a numeric vector giving the measured concentration in pmol/L of drug in the assay
I1L2a numeric vector giving the measured concentration in pmol/L of drug in the assay
I2L1a numeric vector giving the measured concentration in pmol/L of drug in the assay
I2L2a numeric vector giving the measured concentration in pmol/L of drug in the assay
I3L1a numeric vector giving the measured concentration in pmol/L of drug in the assay
I3L2a numeric vector giving the measured concentration in pmol/L of drug in the assay
I4L1a numeric vector giving the measured concentration in pmol/L of drug in the assay
I4L2a numeric vector giving the measured concentration in pmol/L of drug in the assay
Important characteristics of a clinical chemistry assay are its limit of blank (LoB), and its limit of detection (LoD). The LoB, conceptually the highest reading likely to be obtained from a zero-concentration sample, is defined operationally by the upper 95% point of readings obtained from samples that do not contain the analyte. The LoD, conceptually the lowest level of analyte that can be reliably determined not to be blank, is defined operationally as true value at which there is a 95% chance of the reading being above the LoB.
These data are from a portion of a LoB/D study of an assay for a drug used to treat certain cancers. Twelve pools were used, four of them blanks of different types, and eight with successively increasing drug levels. The 8 columns of the data set refer to measurements made using different instruments I and reagent lots L.
Used as an illustrative application for Box-Cox type transformations with
negative values in Hawkins and Weisberg (2015).
For examples of its use, see bcnPower.
Hawkins, D. and Weisberg, S. (2015) Combining the Box-Cox Power and Generalized Log Transformations to Accommodate Negative Responses, submitted for publication.
LoBD
#> pool I1L1 I1L2 I2L1 I2L2 I3L1 I3L2 I4L1 I4L2
#> 1 Blank_1_CAL_A 2 3 3 -8 3 -1 3 0
#> 2 Blank_1_CAL_A 0 1 -2 -6 1 2 1 4
#> 3 Blank_1_CAL_A -1 1 3 -1 -1 3 5 3
#> 4 Blank_1_CAL_A -1 2 -4 0 0 3 6 4
#> 5 Blank_1_CAL_A 0 1 2 0 0 1 2 1
#> 6 Blank_2_CAL_A -4 -2 0 0 0 -2 1 4
#> 7 Blank_2_CAL_A 2 2 -1 1 2 0 2 1
#> 8 Blank_2_CAL_A 1 0 0 -2 3 0 6 4
#> 9 Blank_2_CAL_A -2 -5 -1 -1 1 3 3 2
#> 10 Blank_2_CAL_A -1 2 -1 0 1 1 8 2
#> 11 Blank_Plasma 2 -3 -1 -8 0 1 3 1
#> 12 Blank_Plasma 2 3 -2 -5 1 2 3 2
#> 13 Blank_Plasma -5 -5 -1 -7 -1 -1 2 2
#> 14 Blank_Plasma -4 2 3 -8 -1 -2 2 3
#> 15 Blank_Plasma -1 5 -2 0 -1 2 4 6
#> 16 Blank_Serum -1 1 -3 -5 -3 -3 1 0
#> 17 Blank_Serum 2 -4 -2 -8 1 0 3 3
#> 18 Blank_Serum -2 -4 -4 -12 0 3 2 -1
#> 19 Blank_Serum 2 -1 3 -8 -1 1 2 4
#> 20 Blank_Serum 3 1 -2 -4 0 3 2 1
#> 21 Panel_1 11 9 10 9 9 11 13 10
#> 22 Panel_1 11 10 9 9 8 10 11 9
#> 23 Panel_1 9 10 10 8 10 8 11 10
#> 24 Panel_1 8 11 8 9 7 10 10 7
#> 25 Panel_1 11 12 10 9 8 7 12 12
#> 26 Panel_1 10 10 9 8 9 8 10 13
#> 27 Panel_1 9 11 7 10 10 11 11 10
#> 28 Panel_1 8 10 11 5 9 9 10 8
#> 29 Panel_2 20 18 17 17 18 19 22 20
#> 30 Panel_2 19 19 19 19 19 18 20 20
#> 31 Panel_2 17 19 19 21 18 18 22 18
#> 32 Panel_2 19 20 17 19 18 20 20 18
#> 33 Panel_2 18 19 20 20 18 18 19 21
#> 34 Panel_2 17 18 15 19 20 20 20 19
#> 35 Panel_2 21 20 18 20 17 19 20 20
#> 36 Panel_2 19 18 18 18 17 17 21 21
#> 37 Panel_3 31 27 29 30 29 27 32 30
#> 38 Panel_3 29 34 25 24 28 27 32 28
#> 39 Panel_3 29 28 28 31 28 29 30 25
#> 40 Panel_3 29 31 26 28 29 26 31 27
#> 41 Panel_3 27 27 28 29 28 29 29 27
#> 42 Panel_3 29 30 28 27 28 28 29 31
#> 43 Panel_3 29 29 29 30 26 27 31 28
#> 44 Panel_3 28 26 29 26 27 27 30 30
#> 45 Panel_4 38 37 40 36 38 37 39 37
#> 46 Panel_4 35 38 34 33 37 36 38 37
#> 47 Panel_4 39 38 37 35 34 36 39 34
#> 48 Panel_4 38 37 37 36 36 36 40 36
#> 49 Panel_4 36 36 38 34 38 37 39 36
#> 50 Panel_4 38 36 34 40 36 37 41 37
#> 51 Panel_4 39 35 37 39 39 36 39 39
#> 52 Panel_4 37 38 37 37 35 38 41 36
#> 53 Panel_5 52 51 47 46 45 47 49 43
#> 54 Panel_5 50 48 49 46 46 48 48 49
#> 55 Panel_5 46 45 47 49 47 46 52 45
#> 56 Panel_5 47 48 50 47 47 47 48 48
#> 57 Panel_5 49 49 50 46 48 46 50 46
#> 58 Panel_5 47 46 44 45 48 46 49 47
#> 59 Panel_5 50 45 47 47 48 47 49 46
#> 60 Panel_5 46 48 45 46 46 49 51 48
#> 61 Panel_6 80 78 74 80 77 78 80 79
#> 62 Panel_6 81 80 76 76 76 78 80 81
#> 63 Panel_6 79 74 81 71 76 78 80 75
#> 64 Panel_6 77 77 80 75 79 80 85 77
#> 65 Panel_6 77 73 75 78 77 77 84 79
#> 66 Panel_6 76 81 79 77 79 78 80 76
#> 67 Panel_6 80 74 83 82 81 75 84 79
#> 68 Panel_6 80 79 72 75 80 74 82 82
#> 69 Panel_7 108 100 94 106 99 97 101 96
#> 70 Panel_7 100 96 89 96 96 98 96 100
#> 71 Panel_7 106 103 95 99 100 100 98 95
#> 72 Panel_7 99 105 104 94 101 100 105 100
#> 73 Panel_7 99 97 108 107 98 95 100 98
#> 74 Panel_7 103 96 97 98 98 98 104 97
#> 75 Panel_7 110 95 93 101 100 98 96 98
#> 76 Panel_7 102 99 98 92 95 97 109 100
#> 77 Panel_8 205 192 212 189 194 199 210 191
#> 78 Panel_8 193 194 202 190 202 196 194 202
#> 79 Panel_8 201 196 191 186 195 192 207 202
#> 80 Panel_8 202 205 187 195 199 199 193 190
#> 81 Panel_8 207 204 207 198 197 203 195 193
#> 82 Panel_8 206 202 192 199 192 199 198 195
#> 83 Panel_8 207 190 192 197 192 200 200 200
#> 84 Panel_8 203 189 189 198 185 194 205 201