It depends. If you had no other income except from NY sources which you have to pay NY taxes on anyway, you lived in NY substantially all year, and there were no KS taxes withheld I suggest you file as NY resident only and not file in KS.
The difference in NY resident and nonresident taxation is basically as a NY resident NY taxes all income from all sources but as a nonresident NY only taxes NY source income. So if your only income was NY source then there will not be a difference in your NY taxes.
If for some reason you wanted to keep KS as your domicile state you would file in KS as a resident with nothing but NY income and claim a credit on your KS return for taxes paid to NY. Since NY taxes are higher than KS your KS tax would be zero.
However, if you had income from sources outside of NY then as an undergrad student in NY for school as a full-time student, you can file as NY non-resident and allocate only NY income to NY.
Assuming since you are not a dependent of your parents in KS, you still maintain ties to KS (registered to vote there, driver's license, car registration for example), lived there for a substantial part of the year (went back there when not in school) and intend to return there after graduation, you could still be a resident of KS and file there as resident on all income/all sources. You would claim a credit on your KS return for taxes paid to NY on that NY income to mitigate the double taxation.
Finally, if there was no other income outside of NY, but KS taxes were withheld, then you file as NY resident and KS nonresident to claim a refund of those taxes withheld for KS. Be sure to submit a W4 to your employer to change state withholding to NY so you won't have to file in KS going forward.
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