If me and my daughter's father do not live in the same house hold can I file my daughter on my taxes if she spends a equal amount of time in my house hold

I doubt that is is exactly equal since there were 366 days in 2016 (leap year) then half the year would be 183 nights (the IRS counts nights spend in each household not days), then neither parent had the child *more* than half the year so neither parent can claim the child at all.

However, it is more likely that that the child actually lived with one parent more nights than the other.

There is no such thing in the Federal tax law as 50/50, split, or joint custody. The IRS only recognizes physical custody (which parent the child lived with the greater part, but over half, of the tax year. That parent is the custodial parent; the other parent is the noncustodial parent.)

Who can claim the exemption and credits depends on who is the custodial parent. (By the IRS definition of custodial parent for tax purposes - this is not the same as the custody that a court might grant.).

The test that the IRS uses to determine the custodial parent is where the child lived for more than 1/2 (or greater part) of the year. The IRS will go so far as to require counting the nights spend in each household - that person is the custodial parent for tax purposes (if exactly equal and more than 183 days - The custodial parent is the parent with the highest AGI, if less than 183 days then neither parent has custody). And yes they are that picky.
See Custodial parent and noncustodial parent  under the residency test in Pub 17
https://www.irs.gov/publications/p17/ch03.html#en_US_2016_publink1000170897

Only the Custodial parent can claim: (Child would be listed as non-dependent EIC & CC only)
-Head of Household
-Earned Income Credit
-Child Care Credit

The non custodial parent can only claim: (Child would be listed as dependent)
-The Exemption
- The Child Tax Credit

See Special rule to divorced or separated parents (or parents who live apart).
https://www.irs.gov/publications/p17/ch03.html#en_US_2016_publink1000170897