When Type II Errors Outweigh Type I: Explained
In statistical analysis, knowing when Type II errors are more detrimental than Type I errors can be crucial. This highlights scenarios where accepting a false null hypothesis can have more serious consequences than rejecting a true null hypothesis. Understanding this nuance is key for informed decision-making in various fields. Learn about the implications and practical examples of Type II errors surpassing Type I errors.
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Presentation Transcript
When are Type II errors worse than Type I errors?
Is there a monster under the bed? H0: Ha: Is there actually a monster under the bed? What we conclude
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? What we conclude
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? NO YES!! H0 is TRUE H0 is FALSE What we conclude
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: We say there is a MONSTER! Do not reject H0: We say there is no monster.
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: We say there is a MONSTER! (Correct) RUN FOR YOUR LIFE!!!! Do not reject H0: We say there is no monster. (Correct) Go back to bed
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: We say there is a MONSTER! Type I error Child is frightened unnecessarily (Correct) RUN FOR YOUR LIFE!!!! Do not reject H0: We say there is no monster. (Correct) Go back to bed
Is there a monster under the bed? H0: There is no monster Ha: THERE S A MONSTER!!! Is there actually a monster under the bed? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: We say there is a MONSTER! Type I error Child is frightened unnecessarily (Correct) RUN FOR YOUR LIFE!!!! Do not reject H0: We say there is no monster. Type II error WE RE EATEN ALIVE!! (Correct) Go back to bed
Will human-generated climate change make the Earth uninhabitable for us? H0: Ha: Is climate change really that bad? What we conclude
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? What we conclude
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? NO YES!! H0 is TRUE H0 is FALSE What we conclude
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: Make some serious changes! Do not reject H0: Keep on keeping on.
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: Make some serious changes! (Correct) WE NEED TO SAVE THE EARTH! Do not reject H0: Keep on keeping on. (Correct) No harm, no foul
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: Make some serious changes! Type I error Unnecessary changes are made (Correct) WE NEED TO SAVE THE EARTH! Do not reject H0: Keep on keeping on. (Correct) No harm, no foul
Will human-generated climate change make the Earth uninhabitable for us? H0: No, the Earth is fine Ha: Yes, climate change is real Is climate change really that bad? NO YES!! H0 is TRUE H0 is FALSE What we conclude Reject H0: Make some serious changes! Type I error Unnecessary changes are made (Correct) WE NEED TO SAVE THE EARTH! Do not reject H0: Keep on keeping on. Type II error CIVILIZATION ENDS!! (Correct) No harm, no foul
Is this student qualified? H0: Ha: Is the student actually qualified? instructors conclude What we as
Is this student qualified? H0: No, they need more instruction Ha: Yes, they can pass the class Is the student actually qualified? instructors conclude What we as
Is this student qualified? H0: No, they need more instruction Ha: Yes, they can pass the class Is the student actually qualified? NO YES H0 is TRUE H0 is FALSE instructors conclude Reject H0: Pass the student What we as Do not reject H0: Fail the student
Is this student qualified? H0: No, they need more instruction Ha: Yes, they can pass the class Is the student actually qualified? NO YES H0 is TRUE H0 is FALSE instructors conclude Reject H0: Pass the student (Correct) What we as Successful student (Correct) Student needs to repeat the class Do not reject H0: Fail the student
Is this student qualified? H0: No, they need more instruction Ha: Yes, they can pass the class Is the student actually qualified? NO YES H0 is TRUE H0 is FALSE instructors conclude Type I error Student struggles in the next class Reject H0: Pass the student (Correct) What we as Successful student (Correct) Student needs to repeat the class Do not reject H0: Fail the student
Is this student qualified? H0: No, they need more instruction Ha: Yes, they can pass the class Is the student actually qualified? NO YES H0 is TRUE H0 is FALSE instructors conclude Type I error Student struggles in the next class Reject H0: Pass the student (Correct) What we as Successful student (Correct) Student needs to repeat the class Type II error What impact does this have? Do not reject H0: Fail the student
