Methods and systems for determining lot consistency
This invention provides methods for determining lot consistency between a plurality of lots, systems for determining lot consistency between a plurality of lots, and computer-readable media which store a set of instructions which when executed performs a method for determining lot consistency between a plurality of lots.
1 . A method for determining lot consistency between a plurality of lots, each of the plurality of lots being associated with each of a plurality of analytes, the method comprising:
receiving level data elements, each one of the level data elements corresponding to one of the plurality of lots and one of the plurality of analytes;
calculating, using a computer and the following equation, a plurality of test statistics, each one of the plurality of test statistics respectively corresponding to each one of the plurality of analytes,
Z min=min{(δ−| D ij |)/ se ij },
where D ij comprises a difference between two of the level data elements for an i th lot and a j th lot for a given one of the plurality of analytes, se ij comprises a standard error of the difference, and δ comprises an equivalence margin; and
determining that the plurality of lots are consistent when each of the plurality of test statistics exceeds a predetermined value.
2 . The method of claim 1 , wherein the lots are vaccine lots.
3 . The method of claim 2 , wherein the level data elements are a measure of the immunogenicity of the vaccine lots.
4 . The method of claim 2 , wherein the vaccine is influenza vaccine and the level data elements correspond to the immunogenicity of the influenza vaccine.
5 . The method of claim 4 , wherein the immunogenicity of the influenza vaccine is determined by the hemagglutination inhibition test for anti-HA antibody titration.
6 . The method of claim 1 , further comprising transforming non-normally distributed level data elements to obtain normally distributed level data elements.
7 . The method of claim 1 , wherein δ is from 1.3 to 1.7.
8 . The method of claim 1 , wherein δ is from 1.4 to 1.6.
9 . The method of claim 1 , wherein δ/se ij is 5.0 or less.
10 . The method of claim 1 , wherein each one of the plurality of lots is associated with more than one analyte, and wherein a level data element corresponding to each of the more than one analytes associated with each of the plurality of lots is determined.
11 . A method for determining lot consistency between a plurality of lots, each of the plurality of lots being associated with each of a plurality of analytes, the method comprising:
receiving level data elements, each one of the level data elements corresponding to one of the plurality of lots and one of the plurality of analytes;
calculating, using the following equation, a plurality of test statistics, each one of the plurality of test statistics respectively corresponding to each one of the plurality of analytes,
Z min=min{(δ−| D ij |)/ se ij },
where D ij comprises a difference between two of the level data elements for an i th lot and a j th lot for a given one of the plurality of analytes, se ij comprises a standard error of the difference, and δ comprises an equivalence margin; and
determining that the plurality of lots are consistent when each of the plurality of test statistics exceeds a predetermined value.
12 . A system for determining lot consistency between a plurality of lots, each of the plurality of lots being associated with each of a plurality of analytes, the system comprising
a memory storage for maintaining a database and a processing unit coupled to the memory storage, wherein the processing unit is operative to:
receive level data elements, each one of the level data elements corresponding to one of the plurality of lots and one of the plurality of analytes; and
calculating, using a computer and the following equation, a plurality of test statistics, each one of the plurality of test statistics respectively corresponding to each one of the plurality of analytes,
Z min=min{(δ−| D ij |)/ se ij },
where D ij comprises a difference between two of the level data elements for an i th lot and a j th lot for a given one of the plurality of analytes, se ij comprises a standard error of the difference, and δ comprises an equivalence margin, and determining that the plurality of lots are consistent when each of the plurality of test statistics exceeds a predetermined value.
13 . The system of claim 12 , wherein the lots are vaccine lots.
14 . The system of claim 13 , wherein the level data elements are a measure of the immunogenicity of the vaccine lots.
15 . The system of claim 13 , wherein the vaccine is influenza vaccine and the level data elements correspond to the immunogenicity of the influenza vaccine.
16 . The system of claim 15 , wherein the immunogenicity of the influenza vaccine is determined by the hemagglutination inhibition (HI) test for anti-HA antibody titration.
17 . The system of claim 12 , wherein the processing unit is operative to transform non-normally distributed level data elements to obtain normally distributed level data elements.
18 . The system of claim 12 , wherein δ is from 1.3 to 1.7.
19 . The system of claim 12 , wherein δ is from 1.4 to 1.6.
20 . The system of claim 12 , wherein δ/se ij is 5.0 or less.
21 . The system of claim 12 , wherein each one of the plurality of lots is associated with more than one analyte, and wherein a level data element corresponding to each of the more than one analytes associated with each of the plurality of lots is determined.
22 . A computer-readable medium which stores a set of instructions which when executed performs a method for determining lot consistency between a plurality of lots, each of the plurality of lots being associated with each of a plurality of analytes, the method executed by the set of instructions comprising:
receiving level data elements, each one of the level data elements corresponding to one of the plurality of lots and one of the plurality of analytes; and
calculating, using a computer and the following equation, a plurality of test statistics, each one of the plurality of test statistics respectively corresponding to each one of the plurality of analytes,
Z min=min{(δ−| D ij |)/ se ij },
where D ij comprises a difference between two of the level data elements for an i th lot and a j th lot for a given one of the plurality of analytes, se ij comprises a standard error of the difference, and δ comprises an equivalence margin, and determining that the plurality of lots are consistent when each of the plurality of test statistics exceeds a predetermined value.
23 . The computer-readable medium of claim 22 , wherein the lots are vaccine lots.
24 . The computer-readable medium of claim 23 , wherein the level data elements are a measure of the immunogenicity of the vaccine lots.
25 . The computer-readable medium of claim 23 , wherein the vaccine is influenza vaccine and the level data elements correspond to the immunogenicity of the influenza vaccine.
26 . The computer-readable medium of claim 25 , wherein the immunogenicity of the influenza vaccine is determined by the hemagglutination inhibition (HI) test for anti-HA antibody titration.
27 . The computer-readable medium of claim 22 , wherein the instructions further comprise transforming non-normally distributed level data elements to obtain normally distributed level data elements.
28 . The computer-readable medium of claim 22 , wherein δ is from 1.3 to 1.7.
29 . The computer-readable medium of claim 22 , wherein δ is from 1.4 to 1.6.
30 . The computer-readable medium of claim 22 , wherein δ/se ij is 5.0 or less.
31 . The computer-readable medium of claim 22 , wherein each one of the plurality of lots is associated with more than one analyte, and wherein a level data element corresponding to each of the more than one analytes associated with each of the plurality of lots is determined.
32 . A method for determining lot consistency between a plurality of lots, each of the plurality of lots being associated with each of a plurality of analytes, the method comprising:
manufacturing the lots and taking samples from the lots, analyzing the analytes in the samples, and generating level data elements from the analyses, wherein each one of the level data elements corresponds to one of the plurality of lots and one of the plurality of analytes;
calculating, using a computer and the following equation, a plurality of test statistics, each one of the plurality of test statistics respectively corresponding to each one of the plurality of analytes,
Z min=min{(δ−| D ij |)/ se ij },
where D ij comprises a difference between two of the level data elements for an i th lot and a j th lot for a given one of the plurality of analytes, se ij comprises a standard error of the difference, and δ comprises an equivalence margin; and
determining whether each of the plurality of test statistics exceeds a predetermined value and thus the plurality of lots are consistent;
and, based on said consistency determination, determining whether to use and/or to discard each of the lots, and/or to adjust the manufacturing process.