[R] Could the Odds represent weight in Generalized Linear Model?
contact retour-client
retour.client.contact at gmail.com
Tue Jan 30 15:46:32 CET 2018
Dear Thierry,
Thanks a lot for this answer,
I mean i want to obtain such model *Behavior1 = β0+β1*Age* , the purpose is
to obtain *β1*. I want to be sure that the odds value could be the β1. Or
how to calculate it ?
Thanks again for your precious help.
Lenny
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2018-01-30 15:37 GMT+01:00 Thierry Onkelinx <thierry.onkelinx at inbo.be>:
> Dear Lenny,
>
> You can do this by using Age as an offset factor.
>
> dataset$wAge <- dataset$Age * 1.02
> glm(cbind(Yes,No) ~ offset(wAge) + Times + Type, family=binomial, data =
> dataset)
>
> Best regards,
>
>
>
>
> ir. Thierry Onkelinx
> Statisticus / Statistician
>
> Vlaamse Overheid / Government of Flanders
> INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND
> FOREST
> Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance
> thierry.onkelinx at inbo.be
> Havenlaan 88
> <https://maps.google.com/?q=Havenlaan+88&entry=gmail&source=g> bus 73,
> 1000 Brussel
> www.inbo.be
>
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> than asking him to perform a post-mortem examination: he may be able to say
> what the experiment died of. ~ Sir Ronald Aylmer Fisher
> The plural of anecdote is not data. ~ Roger Brinner
> The combination of some data and an aching desire for an answer does not
> ensure that a reasonable answer can be extracted from a given body of data.
> ~ John Tukey
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>
> <https://www.inbo.be>
>
> 2018-01-30 11:14 GMT+01:00 contact retour-client <
> retour.client.contact at gmail.com>:
>
>> Hello all,
>>
>>
>> I'm sorry if my question seems basic.
>>
>> Im studying a responses (Yes,No) in a survey and, thanks to GLM I obtain
>> the following relation with my variables : (Yes,No)~ β0 + Age We note this
>> this certain type of (Yes,No) response is linked to age (p<0.05 in glm) .
>>
>> After that we calculated :
>>
>> model1=glm(cbind(Yes,No) ~ Age + Times + Type, family=binomial)
>> summary(model1)
>> exp(model1$coefficients)
>>
>> exp(model1$coefficients)(Intercept) Age Times TypeRegular
>> 0.01659381 1.02546748 1.01544154 1.70056425
>>
>> The odds of answering 'Yes' is multiplied with 1.02 for each additional
>> year of age.
>>
>> My questions is :
>>
>> (1) it is possible to add to my model, (Yes,No)~ β0 + Age, the weight of
>> the variable Age. Is it in fact the odd value ? Here is an example : is it
>> ok to formulate my model as that (Yes,No)~ β0 + 1.02* Age: here 1.02 is
>> what I call weight of age, in other words, I want to quantify its impact
>> in
>> the model.
>>
>> (2)suppose I want to model (Yes,No)~ β0 + Type with type a categorical
>> data. odd value of TypeRegular is 1.70056425. But in my model it is simply
>> Type that include Regular and Irregular. How to adapt this value to Type ?
>>
>> My data
>>
>> res=structure(list(Age = c(10, 14, 14, 15, 16, 16, 16, 17, 17, 17, 17,
>> 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20,
>> 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22,
>> 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23,
>> 23, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26,
>> 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27,
>> 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29,
>> 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31,
>> 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33,
>> 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35,
>> 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37,
>> 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38,
>> 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40,
>> 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42,
>> 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43,
>> 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45,
>> 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47,
>> 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 50,
>> 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50,
>> 51, 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52,
>> 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53,
>> 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55,
>> 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56,
>> 57, 57, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 58, 59,
>> 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 61, 62, 62, 62, 62,
>> 63, 64, 64, 65, 65, 67, 74), Times = c(6L, 6L, 16L, 6L, 9L, 23L, 33L,
>> 6L, 14L, 17L, 36L, 4L, 9L, 15L, 20L, 26L, 28L, 30L, 33L, 6L, 11L, 14L,
>> 20L, 26L, 28L, 30L, 32L, 4L, 4L, 6L, 9L, 17L, 26L, 28L, 30L, 33L, 44L,
>> 47L, 4L, 6L, 23L, 26L, 32L, 4L, 9L, 11L, 11L, 14L, 14L, 15L, 17L, 18L,
>> 20L, 23L, 26L, 36L, 44L, 50L, 4L, 9L, 28L, 30L, 32L, 4L, 17L, 23L, 4L,
>> 6L, 9L, 9L, 11L, 14L, 25L, 33L, 33L, 51L, 4L, 6L, 14L, 17L, 18L, 26L,
>> 28L, 30L, 32L, 33L, 44L, 50L, 6L, 9L, 9L, 11L, 14L, 17L, 22L, 23L,
>> 30L, 4L, 9L, 11L, 14L, 15L, 20L, 23L, 28L, 29L, 36L, 39L, 43L, 51L,
>> 58L, 14L, 20L, 23L, 26L, 28L, 36L, 51L, 4L, 6L, 9L, 16L, 17L, 18L,
>> 23L, 33L, 37L, 51L, 9L, 11L, 14L, 18L, 23L, 26L, 28L, 58L, 9L, 17L,
>> 33L, 36L, 37L, 58L, 4L, 6L, 9L, 9L, 11L, 17L, 20L, 26L, 28L, 32L, 33L,
>> 47L, 4L, 6L, 9L, 15L, 23L, 28L, 4L, 9L, 9L, 15L, 17L, 18L, 20L, 23L,
>> 28L, 30L, 30L, 4L, 6L, 6L, 9L, 17L, 18L, 33L, 36L, 4L, 6L, 11L, 14L,
>> 15L, 17L, 23L, 26L, 28L, 36L, 4L, 6L, 9L, 11L, 17L, 18L, 23L, 25L,
>> 28L, 30L, 6L, 9L, 11L, 14L, 14L, 17L, 20L, 23L, 28L, 35L, 44L, 4L, 6L,
>> 9L, 14L, 17L, 44L, 6L, 9L, 14L, 17L, 22L, 26L, 28L, 29L, 33L, 36L,
>> 50L, 4L, 6L, 6L, 17L, 20L, 23L, 28L, 30L, 36L, 51L, 58L, 4L, 9L, 9L,
>> 14L, 15L, 17L, 23L, 26L, 28L, 30L, 36L, 38L, 6L, 6L, 9L, 17L, 23L,
>> 26L, 28L, 43L, 44L, 4L, 15L, 17L, 17L, 25L, 26L, 28L, 36L, 44L, 51L,
>> 58L, 6L, 9L, 16L, 25L, 28L, 32L, 44L, 58L, 4L, 9L, 17L, 28L, 30L, 36L,
>> 43L, 44L, 6L, 11L, 14L, 16L, 26L, 30L, 44L, 15L, 20L, 23L, 26L, 28L,
>> 52L, 4L, 6L, 9L, 9L, 11L, 14L, 16L, 17L, 20L, 23L, 26L, 28L, 30L, 33L,
>> 35L, 37L, 50L, 51L, 6L, 9L, 14L, 17L, 18L, 18L, 26L, 44L, 50L, 9L,
>> 14L, 14L, 15L, 18L, 20L, 23L, 28L, 33L, 36L, 43L, 44L, 50L, 4L, 9L,
>> 11L, 14L, 18L, 26L, 28L, 29L, 30L, 32L, 43L, 44L, 52L, 6L, 9L, 20L,
>> 23L, 28L, 30L, 33L, 36L, 43L, 4L, 9L, 11L, 14L, 16L, 20L, 23L, 26L,
>> 28L, 36L, 50L, 51L, 4L, 6L, 9L, 14L, 18L, 23L, 26L, 30L, 36L, 43L,
>> 44L, 52L, 6L, 9L, 17L, 18L, 23L, 26L, 28L, 30L, 35L, 9L, 14L, 20L,
>> 32L, 33L, 36L, 44L, 6L, 9L, 23L, 25L, 36L, 51L, 9L, 17L, 17L, 18L,
>> 20L, 33L, 58L, 9L, 23L, 26L, 28L, 36L, 6L, 20L, 28L, 20L, 23L, 4L,
>> 15L), Type = c("Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Irregular", "Regular", "Irregular", "Irregular",
>> "Irregular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Irregular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Irregular", "Regular", "Regular",
>> "Irregular", "Regular", "Irregular", "Regular", "Regular", "Regular",
>> "Irregular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Irregular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Irregular",
>> "Regular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Irregular", "Regular", "Irregular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Irregular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Irregular", "Regular", "Irregular",
>> "Regular", "Regular", "Irregular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Irregular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Irregular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Irregular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Irregular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Irregular", "Regular", "Irregular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Irregular", "Irregular", "Irregular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Irregular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Irregular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Regular", "Regular", "Regular",
>> "Irregular", "Regular", "Regular", "Regular", "Irregular", "Regular",
>> "Regular", "Regular", "Regular", "Irregular", "Regular", "Regular",
>> "Regular", "Regular", "Regular", "Irregular", "Regular", "Regular",
>> "Regular", "Irregular", "Regular", "Regular"), Yes = c(0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 1L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 1L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 1L, 1L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 1L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 2L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 1L, 0L, 0L,
>> 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L,
>> 1L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 2L, 0L, 0L, 0L, 1L, 1L, 0L, 0L, 1L, 1L, 0L, 1L, 0L,
>> 1L, 0L, 1L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 2L, 0L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 1L,
>> 0L, 0L, 0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 1L, 0L, 0L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 1L, 0L,
>> 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L,
>> 0L, 0L, 1L, 1L, 1L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L, 0L), No = c(1L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 2L,
>> 1L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 0L, 1L, 1L, 1L, 1L,
>> 2L, 1L, 1L, 1L, 1L, 1L, 3L, 0L, 1L, 1L, 1L, 1L, 1L, 5L, 1L, 1L, 1L,
>> 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 3L, 1L, 2L, 1L, 1L,
>> 1L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 2L,
>> 3L, 1L, 2L, 2L, 5L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 0L, 1L, 1L, 1L, 2L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L,
>> 1L, 1L, 3L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 2L, 1L, 1L, 1L, 1L, 0L, 0L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 5L, 1L, 1L, 0L, 3L,
>> 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 3L, 2L, 1L, 2L, 0L, 1L, 1L, 1L, 0L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 3L, 1L, 1L, 1L, 0L, 1L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 0L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L,
>> 0L, 1L, 1L, 1L, 0L, 1L, 2L, 1L, 1L, 4L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
>> 1L, 1L, 0L, 0L, 1L, 1L, 1L, 2L, 1L, 1L, 0L, 1L, 2L, 1L, 2L, 1L, 1L,
>> 1L, 2L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 0L, 0L, 1L, 1L, 0L, 1L,
>> 1L, 1L, 1L, 1L, 3L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 0L, 1L, 1L, 1L,
>> 1L, 1L, 0L, 3L, 1L, 1L, 1L, 1L, 1L, 2L, 0L, 2L, 4L, 1L, 3L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 3L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
>> 2L, 2L, 2L, 1L, 1L, 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
>> 1L, 0L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L,
>> 1L, 1L, 1L, 1L, 1L, 0L, 1L, 0L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L)),
>> .Names = c("Age", "Times", "Type", "Yes", "No"), row.names = c(NA,
>> -426L), class = "data.frame")
>>
>> Thansk a lot for your help.
>>
>>
>> Lenny
>>
>> <http://www.avg.com/email-signature?utm_medium=email&utm_
>> source=link&utm_campaign=sig-email&utm_content=webmail>
>> Garanti
>> sans virus. www.avg.com
>> <http://www.avg.com/email-signature?utm_medium=email&utm_
>> source=link&utm_campaign=sig-email&utm_content=webmail>
>> <#DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2>
>>
>> [[alternative HTML version deleted]]
>>
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