Statistical inference for serial dilution assay data

被引：14

作者：

Lee, MLT ^{[1
]}

Whitmore, GA

机构：

[1] Brigham & Womens Hosp, Channing Lab, Boston, MA 02115 USA

[2] Massachusetts Gen Hosp, Ctr Biostat, Boston, MA USA

[3] Harvard Univ, Sch Med, Boston, MA USA

[4] McGill Univ, Fac Management, Montreal, PQ H3A 1G5, Canada

来源：

BIOMETRICS | 1999年 / 55卷 / 04期

关键词：

bacterial toxin; data analysis; EM algorithm; interval censoring; log-normal models; maximum likelihood estimation; minimum inhibitory concentration; serial dilution assay; statistical inference; stool cytotoxicity assay;

D O I：

10.1111/j.0006-341X.1999.01215.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Serial dilution assays are widely employed for estimating substance concentrations and minimum inhibitory concentrations. The Poisson-Bernoulli model for such assays is appropriate for count data but not for continuous measurements that are encountered in applications involving substance concentrations. This paper presents practical inference methods based on a log-normal model and illustrates these methods using a case application involving bacterial toxins.

引用

页码：1215 / 1220

页数：6

共 10 条

[1]

[Anonymous], 1922, Philosophical Transactions of the Royal Society of London A, DOI [DOI 10.1098/RSTA.1922.0009, 10.1098/rsta.1922.0009]

[2] DESCRIPTIVE STATISTICAL-ANALYSES OF SERIAL DILUTION DATA [J].

HAMILTON, MA ;

RINALDI, MG .

STATISTICS IN MEDICINE, 1988, 7 (04) :535-544

[3] The effect of serial dilution error on calibration inference in immunoassay [J].

Higgins, KM ;

Davidian, M ;

Chew, G ;

Burge, H .

BIOMETRICS, 1998, 54 (01) :19-32

[4]

McCullagh P., 2019, Generalized Linear Models

[5] Likelihood-based methods for bias reduction in limiting dilution assays [J].

Mehrabi, Y ;

Matthews, JNS .

BIOMETRICS, 1995, 51 (04) :1543-1549

[6] EFFECT OF ENVIRONMENTAL-STRESS ON CLOSTRIDIUM-DIFFICILE TOXIN LEVELS DURING CONTINUOUS CULTIVATION [J].

ONDERDONK, AB ;

LOWE, BR ;

BARTLETT, JG .

APPLIED AND ENVIRONMENTAL MICROBIOLOGY, 1979, 38 (04) :637-641

[7] ESTIMATION OF RELATIVE POTENCY WITH SEQUENTIAL DILUTION ERRORS IN RADIOIMMUNOASSAY [J].

RACINEPOON, A ;

WEIHS, C ;

SMITH, AFM .

BIOMETRICS, 1991, 47 (04) :1235-1246

[8] Nonparametric mixed-effects models for repeated binary data arising in serial dilution assays: An application to estimating viral burden in AIDS [J].

Zackin, R ;

DeGruttola, V ;

Laird, N .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (433) :52-61

[9]

Zeng Q, 1997, STAT MED, V16, P1765, DOI 10.1002/(SICI)1097-0258(19970815)16:15<1765::AID-SIM603>3.3.CO

[10]

2-G

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