Hello Asif! if the programming language is not an issue, you could download R. If you work in higher education, SAS for academics is also available. If you know Bayesian statistics, then Winbugs is free to download. I hope this helps. Cheers! Patricia

Hello Asif! if the programming language is not an issue, you could download R. If you work in higher education, SAS for academics is also available. If you know Bayesian statistics, then Winbugs is free to download. I hope this helps. Cheers! Patricia

Thanks Patricia.

One letter my friend: R 

How to use it: Ask UCLA, link below...

Too complicated?

then run the following command in the console (do it once while connected to internet):

install.packages('Rcmdr')

subsequently:

library(Rcmdr)

http://cran.r-project.org/

http://www.ats.ucla.edu/stat/r/

For one-off analyses, there are lots of web-based calculators available. A favorite of mine is the VassarStats site:

http://vassarstats.net/

R is a great recommendation! Excel can do these tests too with some work. Open Office makes Excel available for free. YouTube has several tutorials on doing these stats in Excel. 

Truly free, there are only two choices.

Choice 1 is R.

Choice 2 is SAS (maybe). If you are with an University in the United States, then there is a virtual machine or a cloud based version of SAS. I just learned about this, and I don't have a clue if it is exclusive to USA of if other countries are included.

Both choices require some skill at programming. The level of skill is dependent on the task you need to accomplish. SAS has great manuals and I have found their help center to be useful. There are a large number of people who use R and they too are helpful. However, I have found the R documentation to be unfriendly and unhelpful.

Of course, once you leave the university, SAS will be unavailable without great cost. R is just free to all those with internet access.

Other people have already recommended it to you but I will make a suggestion regarding R.

If programming is an issue for you then you can install a user-friendly interface - deducer.

http://www.deducer.org/pmwiki/pmwiki.php?n=Main.DeducerManual

Excel is a great program (commonly available, but not free). The free equivalent is OpenOffice. I use Excel a great deal. It is easy to use. However, it was never designed for statistical analyses. So try this:

In ten cells type in the value 0.1

       The value 0.1 is not exactly representable in binary.

Add these ten cells together.

Excel displays the number 1.

Take the log of this value.

Excel will return a value like -4.82 x 10^(-17).

If you type in =log(1), Excel will return a zero (the correct answer).

Excel does not keep track of as many decimal places as a program like SAS, and is therefore less reliable.

For a quick look, and preliminary data, I often use Excel. Prior to publication, I always go to software designed for statistical analysis. If they give the same answer, that is great.

The best Free program is, without doubt, the R program, which you can find at https://cran.r-project.org/ (already written in the preceding responses). You could do all the most complex computing with few commands, if you know what packages to install with this program. Hundred of packages exist, which simplify greatly the most complex statistical procedures. 

The package R Commander is particularly useful if you don't want to write and learn commands, it allows to use Graphical User Interface.

if you want a Free equivalent of SPSS, you could download the PSPP Free program, which is a basic but efficient program, with GUI. 

Thanks Renaud, Timothy, Lukasz, Stephanie, Scot and Patricia for your guidance.

R pakage, minitab, SPSS and maple can be used for ANOVA.