Senses DO affect iniatiative and to-hit. They also definitely affect scouting (my 100 sense gadgeteer spots EVERYTHING and QUICKLY). And strength certainly DOES affect to-hit and damage. The only effects that DO NOT exist are those that are not DIRECTLY and SPECIFICALLY mentioned in the stat descriptions
Intelligence affects spell-casting, and senses affects psionics, only to the extent that they increase the RATE at which the skills improve -- once you max out the skill, your stat score is irrelevant.
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