Did you sign a statement CONFESSING to a crime? Or, did you sign a statement alleging that your partner/loved one committed a crime against you?
As mentioned by Army Judge, before you consider recanting or changing what you wrote or admitted to, consult with an attorney so that you might understand what legal penalties you might face as a result of this changing of the tale. And if this is a domestic violence case, keep in mind that about 75% of victims recant or risk jail by lying, so the prosecutor may already be prepared for this to happen.