Development of a web-based tool for probit analysis to compute
LC
50
/LD
50
/GR
50
for its use in toxicology studies
Vinay Kumar*
Department of Mathematics and Statistics, CCS Haryana Agricultural University, Hisar -125004
(Haryana), India
O.P. Sheoran
Department of Mathematics and Statistics, CCS Haryana Agricultural University, Hisar -125004
(Haryana), India
Sarita Rani
Department of Mathematics and Statistics, CCS Haryana Agricultural University, Hisar -125004
(Haryana), India
Komal Malik
Department of of Economics, Govt. College, Nalwa, Hisar (Haryana), India
*Corresponding author. Email: vinay.stat@gmail.com
Article Info
https://doi.org/10.31018/
jans.v12i4.2408
Received: October 26, 2020
Revised: December 3, 2020
Accepted: December 7, 2020
How to Cite
Kumar V. et al. (2020). Development of a web-based tool for probit analysis to compute LC
50
/LD
50
/GR
50
for its use in toxicology
studies. Journal of Applied and Natural Science, 12(4): 641 - 646. https://doi.org/10.31018/jans.v12i4.2408
This work is licensed under Attribution-Non Commercial 4.0 International (CC BY-NC 4.0). © : Author (s). Publishing rights @ ANSF.
Published online: December 9, 2020
ISSN : 0974-9411 (Print), 2231-5209 (Online)
journals.ansfoundation.org
Research Article
INTRODUCTION
Probit analysis is widely used in research areas deal-
ing with the binomial response. Its main application is
observed in the field of toxicological studies, where it
transforms the sigmoidal dose-response curve to a
straight line that can further be easily analyzed by re-
gression through either least squares or maximum like-
lihood. The methodology transforms the complex per-
centage affected vs. dose-response into a simple linear
relation of probit vs. dose-response. The probit is then
be translated into percentages. This method is appro-
priate because of the typical shape found in the dose-
response curve and although approximate but allows
quantification of the consequence due to exposure. Lei
and Sun (2018) compared lethal dose ratios using pro-
bit regression with arbitrary slopes using bioassay data
of chrysanthemum aphids, three populations of the
pest bug “Wicked Witch of the West” and two popula-
tions, of Godfather larvae. Singh and Zahara (2017)
studied LC
50
assessment of cypermethrin in Hetero-
pneustes fossilis using probit analysis.
The term “Probit” is an abbreviation of the term
“probability unit” and it was the first developed and
studied to treat data such as the percentage of pest
killed by a pesticide. Bliss (1934) proposed the trans-
formation of the percentage killed into “probit”. He de-
fined arbitrarily 0 for 0.0001 and 10 for 0.9999 and
included a table to aid researchers to convert kill-
percentage to probit, which then is plotted against the
logarithm of dose. The table introduced by Bliss was
further carried forward in the toxicological application
by Finney (1952). Values tabulated by Bliss can be
derived from probit by adding 5. Using Bliss’s idea of
probit analysis, Leslie et al. (1945) were able to dis-
cuss the distribution of body–weight of female rats
where they reach maturity.
Probit analysis is mainly used to analyze data from
Abstract
The toxicity bioassays are essential to detect and estimate the potential toxicological effects of chemicals on an organism.
LC
50
/LD
50
/GR
50
is the estimation of dose/concentration necessary to kill 50 per cent of a population of the test species. Experi-
mentally this is done by administrating a chemical at different doses to a group of organism and then observing the resulting
mortalities in a set of the time period. A web-based module for a statistical analysis tool to calculate and compare the median
lethal dose has been developed in ASP scripting language based on Server -Client Architecture. The module produces the final
probit line, dose-response curve, LC
50
/LD
50
with 95 % confidence interval. The Chi -square statistic has been obtained for testing
the adequacy of fit. A user-friendly interface for entering/pasting the data and various parameters such as number of variables,
number of observations etc. has also been provided. Additionally, a complete procedure to perform probit analysis has also
been provided in the help file.
Keywords: Concentration, LC
50
/LD
50,
Probit Analysis, Server-Client Architecture