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TWO WAY. TABLES. Task One – Data Collection. What is the probability that…. A student has an Ipod? A student has been to the SI? A student does not have an Ipod? A student has not been to SI? A student has an Ipod and has been to the SI? A student has an Ipod or has been to SI)

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Presentation Transcript
Task one

TWO WAY

TABLES



What is the probability that
What is the probability that…

  • A student has an Ipod?

  • A student has been to the SI?

  • A student does not have an Ipod?

  • A student has not been to SI?

  • A student has an Ipod and has been to the SI?

  • A student has an Ipod or has been to SI)

  • A student does not have an Ipod or has not been to the SI?


Same same but different
Same same but different??

  • If we know they have an Ipod, what is the probability they have been to South Island?

  • If we know they have been to the South Island what is the probability they have an Ipod?



What is the probability that1
What is the probability that…

  • A student is blonde?

  • A student spent less than 2 hours watching TV last night?

  • A student is blonder and spent more than 2 hours watching TV last night?

  • A blonde student spent less than 2 hours watching TV last night?

  • A student who was watching TV for more than 2 hours last night is blonde?



Questions
Questions?

  • Write your own set of at least 5 questions you could answer using the previous two-way table.


Fill in the gaps
Fill in the gaps

110

130

295

595


Design your own two way table
Design your own two way table

Write 5 probability questions to go with your table


Medical diagnosis
Medical diagnosis

  • A patient has a test to see if they have or do not have a particular disease

  • The test gives a result – either positive or negative



Definitions
Definitions

  • False Positive

    • A healthy person is told they have the disease

  • False Negative

    • A person with the disease is told they don’t have it


Further definitions
Further definitions

  • Sensitivity

    • Probability that a person who has the disease gets a positive result

    • Closer it is to 1 the better the test is at determining if a person has the disease

  • Specificity

    • Probability that a person who does not have the disease gets negative result

    • Closer it is to 1 the better the test is at determining if a person does not have the disease



Questions1
Questions

  • Calculate the probability of a false positive

  • Calculate the probability of a false negative

  • Calculate the specificity and sensitivity of this test

  • How effective is this test?



Questions2
Questions

  • Calculate the probability of a false positive

  • Calculate the probability of a false negative

  • Calculate the specificity and sensitivity of this test

  • How effective is this test?



Questions3
Questions

  • Calculate the probability of a false positive

  • Calculate the probability of a false negative

  • Calculate the specificity and sensitivity of this test

  • How effective is this test?


Design your own 3 way table
Design your own 3 way table

Write 5 probability questions to go with your table


Thinking flexibly
Thinking flexibly

  • What other contexts do you think two way tables would be useful in?