I e-filed with Turbo on 1/29/18 and  1 week later rec'd my federal.  Its the same message I rec'd for state:

"We received your return and it may require further review. This may result in your New York State return taking longer to process than your federal return. No further information is available at this time."

I don't child income credit.  The state just takes longer to review.  I believe they are more detailed in checking your file enough though you rec'f little refund or big.   

New York State refunds usually takes longer since they have to wait until funds are available , there's really no money to pay every tax paper quickly ( So they say ) this causes delays, document request ect to prolong the process. This info comes from someone that works auditing taxpayers,  It's all a gimmick From the puppeteers and you just happend to be the puppet. 

I E Filed The 6Th Of February , I CLAIMED EITC FOR ONE CHILD I RECIVED MY FEDERAL ON THE 22nd OF THIS Month BUT NOT My state.. last week my state said it might need further review and this week it said processing.. still waiting!