Psychlotron.org.uk Pair up. One of you toss a coin 10 times. The other record on a small piece of paper how many times it comes up ‘heads’. When you have.

Slides:



Advertisements
Similar presentations
Probability How likely is an event to occur?
Advertisements

Inferential Statistics and t - tests
Objective: Probability Trees Anne tosses 2 coins, one after the other. List all the possible outcomes. How could you do it?
Presentation on Probability Distribution * Binomial * Chi-square
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide
Psych 5500/6500 The Sampling Distribution of the Mean Fall, 2008.
Activity 1 Activity 2 Index Student Activity 1: Tossing a coin Student Activity 2: Tossing two coins.
CHAPTER 13: Binomial Distributions
Analyze the Data.  What did we learn from the data?  Does this sample convince you that more than half of all customers at this store are female? 
Solve for x. 28 = 4(2x + 1) = 8x = 8x + 8 – 8 – 8 20 = 8x = x Distribute Combine Subtract Divide.
Probability and Chance By: Mrs. Loyacano. It is CERTAIN that I pull out a black marble.
Unit 32 STATISTICS.
Warm Up The box-and-whisker plot shows the test scores in Mrs. Howard’s first period math class. 1. Find the minimum, maximum, median, and quartile values.
Probability What are your Chances? Overview Probability is the study of random events. The probability, or chance, that an event will happen can be described.
Combinatorics. If you flip a penny 100 times, how many heads and tales do you expect?
Chi-square notes. What is a Chi-test used for? Pronounced like kite, not like cheese! This test is used to check if the difference between expected and.
Binomial & Geometric Random Variables §6-3. Goals: Binomial settings and binomial random variables Binomial probabilities Mean and standard deviation.
Hypothesis Testing. Central Limit Theorem Hypotheses and statistics are dependent upon this theorem.
14.7 Probability and Odds CORD Math Mrs. Spitz Spring 2007.
Statistics Frequency and Distribution. We interrupt this lecture for the following… Significant digits You should not report numbers with more significant.
Probability True or False? Answers.
Section 5.1 Discrete Probability. Probability Distributions x P(x)1/4 01/83/8 x12345 P(x)
Chance Experiments. Review! MondayTuesdayWednesdayThursdayFriday ChocolateBlueberryPoppy SeedCranberryChocolate SpiceChocolate Chip BananaBlueberryPoppy.
CALCULATE THE PROBABILITY OF AN EVENT. 1.ANSWER THIS QUESTION: IS THE EVENT POSSIBLE? STOP: DON’T CONTINUE. THE PROBABILITY OF THE EVENT IS O GO TO NUMBER.
Chi Squared Test. Why Chi Squared? To test to see if, when we collect data, is the variation we see due to chance or due to something else?
 By: Natalia, Emily, Lauren, Christian, and John.
Graph of a Binomial Distribution Binomial distribution for n = 4, p = 0.4:
Probability How likely is an event to occur? What are the chances of that happening??!!
Scientific Method Probability and Significance Probability Q: What does ‘probability’ mean? A: The likelihood that something will happen Probability.
Overview Of Probability Distribution. Standard Distributions  Learning Objectives  Be familiar with the standard distributions (normal, binomial, and.
Probability.
Hypothesis Testing. Central Limit Theorem Hypotheses and statistics are dependent upon this theorem.
Binomial Distributions Chapter 5.3 – Probability Distributions and Predictions Mathematics of Data Management (Nelson) MDM 4U.
Probability, Sampling, and Inference Q560: Experimental Methods in Cognitive Science Lecture 5.
Probability VOCAB!. What is probability? The probability of an event is a measure of the likelihood that the event will occur. When all outcomes are equally.
Binomial Distributions Chapter 5.3 – Probability Distributions and Predictions Mathematics of Data Management (Nelson) MDM 4U Authors: Gary Greer (with.
Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 16 Mathematics of Normal Distributions 16.1Approximately Normal.
Homework Questions. Simulations Unit 6 Experimental Estimates As the number of trials in an experiment increases, the relative frequency of an outcome.
How likely is something to happen..  When a coin is tossed, there are two possible outcomes: heads (H) or tails (T) We say the probability of a coin.
Mrs. Hubbard 6 th Grade.  What is the chance that a particular event will happen? - It will rain tomorrow. - We will have school tomorrow. - We will.
Probability What are your Chances? Warm Up Write each fraction in simplest form
Extension: How could researchers use a more powerful measure of analysis? Why do you think that researchers do not just rely on descriptive statistics.
PROBABILITY! Let’s learn about probability and chance!
Warm Up The average amount of meat that an American consumes per year is lbs. Assume that the standard deviation is 25 and that the distribution.
Implementation 1.Review the mathematical concept. 2.Review the problem solving steps. 3.READ: Children read the part that is asking them to find something.
Random Variables and Probability Distributions. Definition A random variable is a real-valued function whose domain is the sample space for some experiment.
MSV 12: Significance Levels
Can we prove the likelihood of events happening?
What do you need to know? Introduction to the use of inferential statistics: the Sign Test What inferential tests allow us to do (that descriptive stats.
CHAPTER 14: Binomial Distributions*
4.3 Introduction to Probability
Experimental Probability
Box models Coin toss = Head = Tail 1 1
Using Simulation to Estimate Probabilities
Chapter Randomness, Probability, and Simulation
Experimental Probability Vs. Theoretical Probability
PROBABILITY The probability of an event is a value that describes the chance or likelihood that the event will happen or that the event will end with.
The Binomial and Geometric Distributions
Experimental Probability Vs. Theoretical Probability
Probability “What will Be?”.
Probability True or False? Answers.
Statistics & Probability
What do you know about probability?
Experimental Probability Vs. Theoretical Probability
Lesson #8 Guided Notes.
Chapter 6: Probability.
Randomness, Probability, and Simulation
Statistics and Probability-Part 5
Displaying data in Stem-and-Leaf Plots and Histograms
Some Key Ingredients for Inferential Statistics
Presentation transcript:

psychlotron.org.uk Pair up. One of you toss a coin 10 times. The other record on a small piece of paper how many times it comes up ‘heads’. When you have recorded 10 results, give the paper to me. Repeat until I ask you to stop.

psychlotron.org.uk Today’s session You are learning about...You are learning to... Probability Probabilistic research Make judgements about significance

psychlotron.org.uk Unlike much of what you are used to in the physical sciences, judgements in psychology are often based on probability

psychlotron.org.uk When you toss a coin, what is the probability it will come up ‘heads’? If you have thrown nine heads in a row, what happens to the probability that your next toss will be ‘heads’?

psychlotron.org.uk If we plot the results from your earlier coin tosses on the graph below, what shape will we get? O heads; 10 tails 5 heads; 5 tails 10 heads; 0 tails

psychlotron.org.uk Normal distribution curve O heads; 10 tails 5 heads; 5 tails 10 heads; 0 tails Likely outcomes Unlikely outcomes

psychlotron.org.uk Does your partner have telekinetic powers? – Decide who will be the researcher and who will be the participant. – Participant will use the power of their mind to will the coin to come up ‘heads’

psychlotron.org.uk If your participant’s coin came up heads, does that mean she has telekinetic powers? So how can we use coin tosses to test if she does?

psychlotron.org.uk O heads; 10 tails 5 heads; 5 tails 10 heads; 0 tails Likely to be caused by chance Unlikely to be caused by chance; perhaps caused by something else

psychlotron.org.uk How many times out of ten must the participant’s coin come up heads before we accept that the result was not just due to chance?

psychlotron.org.uk Did any participant meet or exceed the criterion? – Does this (or would this) prove that she had telekinetic powers? – What would we do to check?

psychlotron.org.uk Significance In psychological research we judge the importance of results by comparing them with what is likely to happen by chance.

psychlotron.org.uk Everyone choose a number between 1 and 10 and write it down We’ll divide the class arbitrarily in half and compare the numbers they have chosen Do we expect that the two sets of numbers will be very different?

psychlotron.org.uk The two sets of numbers will not be identical; they will be different. However: – The difference may be due to chance – The difference may be due to something else

psychlotron.org.uk Let’s repeat the test. This time, read what’s on the card before choosing your number.

psychlotron.org.uk Significance The more consistent the difference between the two sets of numbers, the smaller the probability that the difference was caused by chance. However, we have to decide how unlikely a ‘chance result’ has to be before we will accept that the difference was caused by something else

psychlotron.org.uk Significance p  0.05