2001
DOI: 10.4049/jimmunol.167.10.5725
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Graphical Representation of a Generalized Linear Model-Based Statistical Test Estimating the Fit of the Single-Hit Poisson Model to Limiting Dilution Assays

Abstract: Standardized statistical and graphical methods for analysis of limiting dilution assays are highly desirable to enable investigators to compare and interpret results and conclusions with greater accuracy and precision. According to these requirements, we present in this work a powerful statistical slope test that estimates the fit of the single-hit Poisson model to limiting dilution experiments. This method is readily amenable to a graphical representation. This slope test is obtained by modeling limiting dilu… Show more

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Cited by 33 publications
(32 citation statements)
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“…The K3 genomic region was chosen because its primer set had rapid amplification kinetics. Our data were compatible with the single-hit Poisson model (SHPM) as tested by modeling the limiting dilution data according to a generalized linear log-log model fitting the SHPM and checking this model by an appropriate slope test as described by Bonnefoix et al (5). A regression plot of input cell number against log fraction-negative samples was used to estimate the frequency of cells with viral genomes.…”
Section: Cd11bmentioning
confidence: 82%
“…The K3 genomic region was chosen because its primer set had rapid amplification kinetics. Our data were compatible with the single-hit Poisson model (SHPM) as tested by modeling the limiting dilution data according to a generalized linear log-log model fitting the SHPM and checking this model by an appropriate slope test as described by Bonnefoix et al (5). A regression plot of input cell number against log fraction-negative samples was used to estimate the frequency of cells with viral genomes.…”
Section: Cd11bmentioning
confidence: 82%
“…3A). Based on these three points, it is possible to estimate f p , the frequency of HA-specific responsive T cells, by the method of likelihood maximization (13,21), and the result is presented in Fig. 4 ( f p ϭ 1/1946).…”
Section: The Stepwise Regression Proceduresmentioning
confidence: 99%
“…Modeling limiting dilution data according to a linear log-log regression procedure results in a statistical slope test z that can be graphed to visualize whether the SHPM is compatible or not with the data (13). Based on the current simulated data, the graphical 1.…”
Section: Fitting the Shpm To Limiting Dilution Data By Generalized LImentioning
confidence: 99%
See 1 more Smart Citation
“…This general shape favored the singlehit kinetics hypothesis. This was checked by a generalized linear model-based statistical slope test that we have tailored to the statistical analysis of LDA (35). Briefly, the equation of the generalized linear log-log regression line, in the form of Y i ϭ ␣ ϩ ␤X i was Y i ϭ Ϫ5.874 ϩ 0.909X i .…”
Section: The Ld Data Setmentioning
confidence: 99%