The Collaborative International Dictionary of English v.0.48:

Ineffectiveness \In`ef*fect"ive*ness\, n.
   Quality of being ineffective.
   [1913 Webster]

WordNet (r) 3.0 (2006):

ineffectiveness
    n 1: lacking the power to be effective [syn: ineffectiveness,
         ineffectualness, ineffectuality] [ant: effectiveness,
         effectivity, effectuality, effectualness]

Moby Thesaurus II by Grady Ward, 1.0:

80 Moby Thesaurus words for "ineffectiveness":
   absurdity, aimlessness, bootlessness, counterproductiveness,
   counterproductivity, emptiness, failure, fatuity, fecklessness,
   forcelessness, fruitlessness, futility, hollowness, impotence,
   inability, inadeptness, inadequacy, inanity, inaptitude, inaptness,
   inattentiveness, incapability, incapacity, incompetence,
   incompetency, indexterity, ineffectuality, ineffectualness,
   inefficaciousness, inefficacy, inefficiency, ineptness, invalidity,
   lack of force, lack of influence, lack of magnetism,
   lack of personality, lack of power, maladjustment, maladroitness,
   meaninglessness, mediocrity, no say, nugacity, otiosity,
   pedestrianism, pointlessness, powerlessness, profitlessness,
   purposelessness, rat race, rustiness, skill-lessness, the absurd,
   thoughtlessness, triviality, unaptness, unauthoritativeness,
   uncleverness, undeftness, undexterousness, undextrousness,
   unfitness, unfittedness, uninfluentiality, unintelligence,
   unpersuasiveness, unproductiveness, unproficiency, unprofitability,
   unprofitableness, unschooledness, unskillfulness, untrainedness,
   uselessness, valuelessness, vanity, vicious circle, weakness,
   worthlessness