The statistical analyses that can be performed depend on the data you have and the scientific question at hand.
Do you have spatial distribution patterns where fossils were found, information about the surrounding geological sediments, morphometric parameters on individual specimens, ....
I think the question can only be answered meaningfully when further information is available.
Dear Mr. Jan Schulz thank you for your valuable comment.. indeed the question may have some missing parts, that because of the difficulty of find a new applied idea for the Ostracods fossils, for that why i didn't specify the type of needed study, in other words, What can i do with the Ostracod fossils?
i have information about some observed parameters, such as number of individuals of each species, number of the ornamented and nun ornamented individuals, ratio of valves/carapaces and the diversity of the Ostracods in each rock sample..
Regression analysis that you can get the formulae from any Biostatistics book or you can use any kind of statistical software to study Ostracod fossils.
It seems that the connecting element is the 'rock sample' itself.
By this it should be possible to run a couple of multivariate statistics.
A first go could be a Principal Component Analysis (PCA), what represents the weakest form of Eigenvector based methods) but can give a good impression, whether some parameters have a higher variance and some samples form clusters.
To test such a finding a Linear Discriminant Analysis can be run, when there is a possibility to disinguish some samples a-priori (maybe different strata, site, etc...).
A simple Multidimensional Scaling with different distance measures can also help to get a first impression on clustering.
Having the option to distinguish environmental and fossil information (like chemical information about the rock sample AND the information about the fossils, e.g. abundance of several species) one could also try a Redundance Analysis, to get an idea how these two doomains are linked (if so).
Needing help with the encoding i can give you some hints on the model programming using the free statistical programming language "R".