Week X Discussion: Option B
The primary motivation XXX conducting an ANOVA over XXXXXXXX t-tests is XXXX you run the XXXX of XXXXXXXXXX a XXXX I XXXXX (XXXXXXXXX of a XXXX null hypothesis). XX XXX XXXXXX of null hypotheses XXXXXXXXX, so XXXX XXX XXXXXXXXXXX XX committing a Type I error via XXXXXXXX t-XXXXX. XXXXXXXX t-tests XXX XXXXXXXXX helpful in XXXXXXXXXXX statistical significance with XXXXX sample sizes (XXX a lot XXXXXX to conduct), ANOVA XXXXXX for testing for XXXX than two XXXXX, while not running XXX XXXX XX an XXXXXXXX in XXX probability XX a Type I XXXXX.
An XXXXX controls XXX these XXXXXX so XXXX XXX Type I XXXXX (XXXXXXX XXXXXX 5%) and XX XXX have much more confidence that XXX statistically significant XXXXXXX XX XXXX XXXXXX are XXX XXXXXXXX XX these errors. XXXX XX XXXXXXXX by utilizing XXX F-XXXXX XX compare XXXXXXX XXXXXX XXXXXXXXX, XX it XX XXXXXXXXXXXXXX XXXXXXXXXX XX XXXXXXX XXXXXXXXXXXX XXXXXXX XXXXX for XXXX than two XXXXXXX. Using this XXXXX, we are able XX XXX XX XXXXX XX a difference XXXXXXX XXXXXXXX conditions XXXX XXX’t XX XXXXXXXXXX XX chance alone; XXXXXXXXX XXXX XXX t-XXXX XX XXXXXXXXX XX XXXXX.The XXXXX is an extremely useful statistical test XX it enables us XX observe XXXXXXXXXXXXX XX “factors” XXXX the dependent variable.