here you can find the calculation of water quality index for surface water using the same parameters as you mentioned

http://link.springer.com/article/10.1007/s13201-013-0077-2

regards

here you can find the calculation of water quality index for ground water

https://www.ncbi.nlm.nih.gov/pubmed/20091344

regards

there are various methods to determine water quality index....check these links

http://www.journalijar.com/article/9245/evaluation-of-water-quality-index-for-the-groundwater-in-region-around-buddha-nallah,-punjab,-india./

http://www.asianacademicresearch.org/2016_abstract/may_md_2016/8.pdf

https://link.springer.com/article/10.1007/s13201-015-0318-7

Canadian Council of Ministers of the Environment (CCME) have developed calculators for sediment, soil and water quality indices. You can download the water quality indix at the following site (excel file and pdfs of technical report and users manual):

http://www.ccme.ca/en/resources/canadian_environmental_quality_guidelines/calculators.html

Hope this helps!