Not sure if you've tried to include link="probit" into the GLM and see if that helps you.

This would also allow you to get a lethal dose 50 in R...using the MASS package and the does.p("GLM name" , p=50) function. 

Thank you Dear Blair. let me try this.

When the data have zero values (0), it is very difficult for these data to follow the normality test. Normality must be checked. And if the population is not normal, the nonparametric tests must be done.

Hi Membang

Useful references 1

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=7&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFgh5MAY&url=http%3A%2F%2Fwww.stat.umn.edu%2Fgeyer%2F5931%2Fmle%2Fglm.pdf&usg=AOvVaw14zuWQURvnmiStUU-jzHud

2

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=6&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFghsMAU&url=https%3A%2F%2Fwww.rdocumentation.org%2Fpackages%2Farm%2Fversions%2F1.10-1%2Ftopics%2Fbayesglm&usg=AOvVaw3zA6WpraZKccwROJgKQToI

3

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFgheMAQ&url=https%3A%2F%2Fstats.idre.ucla.edu%2Fr%2Fdae%2Fmixed-effects-logistic-regression%2F&usg=AOvVaw1n-vXsIiI6ZEeOhRKl4d6w

4

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFghNMAM&url=https%3A%2F%2Fcran.r-project.org%2Fweb%2Fpackages%2Flsmeans%2Fvignettes%2Fusing-lsmeans.pdf&usg=AOvVaw2kxQsw-sISiXmxlP2kTzj4

5

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFggzMAE&url=https%3A%2F%2Fstat.ethz.ch%2FR-manual%2FR-devel%2Flibrary%2Fstats%2Fhtml%2Ffamily.html&usg=AOvVaw0j0pn-bd51TsheAi80N_li

6

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=9&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFgiRATAI&url=https%3A%2F%2Fwww.sagepub.com%2Fsites%2Fdefault%2Ffiles%2Fupm-binaries%2F21121_Chapter_15.pdf&usg=AOvVaw04C2khKojK4jWMH5nb-Ljg

7

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=10&cad=rja&uact=8&ved=0ahUKEwjU0d2_5p7bAhVH46QKHePtCc0QFgieATAJ&url=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC5096736%2F&usg=AOvVaw2qTeF_qkVVjVUZt7GWqtlv

8

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=11&cad=rja&uact=8&ved=0ahUKEwiMsoWY757bAhUlApoKHcqGD5E4ChAWCCYwAA&url=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC5096736%2F&usg=AOvVaw2qTeF_qkVVjVUZt7GWqtlv

9

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=12&cad=rja&uact=8&ved=0ahUKEwiMsoWY757bAhUlApoKHcqGD5E4ChAWCC4wAQ&url=http%3A%2F%2Fwww.andrew.cmu.edu%2Fuser%2Fjsmurray%2Fteaching%2F303%2Ffiles%2Flab.html&usg=AOvVaw2WvFApU-f-7tOOC6G2Q6oD

10

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=12&cad=rja&uact=8&ved=0ahUKEwiMsoWY757bAhUlApoKHcqGD5E4ChAWCC4wAQ&url=http%3A%2F%2Fwww.andrew.cmu.edu%2Fuser%2Fjsmurray%2Fteaching%2F303%2Ffiles%2Flab.html&usg=AOvVaw2WvFApU-f-7tOOC6G2Q6oD

https://www.cs.cmu.edu/~odonnell/papers/learning-gaussian-mixtures.pdf

12

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=14&cad=rja&uact=8&ved=0ahUKEwiMsoWY757bAhUlApoKHcqGD5E4ChAWCDwwAw&url=https%3A%2F%2Fwww.unc.edu%2Fcourses%2F2010fall%2Fecol%2F563%2F001%2Fdocs%2Flectures%2Flecture17.htm&usg=AOvVaw3IrZp7VWBsLAD3CEImF1bm

13

https://hal.archives-ouvertes.fr/hal-01394974/document

14

https://arxiv.org/pdf/math/0505603

15

ieee-focs.org/FOCS-2017-Papers/3464a085.pdf

16

ieeexplore.ieee.org/iel5/78/4359509/05720325.pdf

17

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=21&cad=rja&uact=8&ved=0ahUKEwig-seH9Z7bAhXoFZoKHRFFD7A4FBAWCCYwAA&url=http%3A%2F%2Fuc-r.github.io%2Fdiscriminant_analysis&usg=AOvVaw2cH667jXlr6SHnO8haV1ix

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=22&cad=rja&uact=8&ved=0ahUKEwig-seH9Z7bAhXoFZoKHRFFD7A4FBAWCCswAQ&url=https%3A%2F%2Fwww.springer.com%2Fcda%2Fcontent%2Fdocument%2Fcda_downloaddocument%2F9781461444749-c1.pdf%3FSGWID%3D0-0-45-1344211-p174513603&usg=AOvVaw0T1iAMq8di9ye_Yz00UHpl

18

https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=23&cad=rja&uact=8&ved=0ahUKEwig-seH9Z7bAhXoFZoKHRFFD7A4FBAWCDAwAg&url=http%3A%2F%2Fs3.amazonaws.com%2Fh2o-release%2Fh2o%2Frel-nunes%2F2%2Fdocs-website%2Fdatascience%2Fglm.html&usg=AOvVaw1qW7M8_9D0EVBaP3TfGCM0

19

https://www.jstatsoft.org/article/view/v033i02/v33i02.pdf

20

https://academic.oup.com/mnras/article-pdf/446/1/75/4142749/stu2080.pdf

Dear Laith Al-Ani

thank you very much i will go through the documents.

Regards