Analyzing Your Data. Was my difference caused by random factors?

Slides:



Advertisements
Similar presentations
Random Errors Suppose that I make N measurements of a certain quantity x and my measurement errors are random. Then I would report my final answer as as:
Advertisements

Section 5.2 Normal Distributions: Finding Probabilities.
Normal Distributions: Finding Probabilities
Econ 338/envr 305 clicker questions
REVIEW – APPLICATIONS OF THE NORMAL DISTRIBUTION.
Engineering Statistics ECIV Linear Combinations of Normal Random Variables.
Randomized Algorithms Randomized Algorithms CS648 Lecture 8 Tools for bounding deviation of a random variable Markov’s Inequality Chernoff Bound Lecture.
Continuous Random Variable (1). Discrete Random Variables Probability Mass Function (PMF)
Assuming normally distributed data! Naïve Bayes Classifier.
Precipitation Statistics! What are the chances?. Weather service collects precipitation data around the country.
Lecture 5 Random Errors in Chemical Analysis - II.
Relationship Between Sample Data and Population Values You will encounter many situations in business where a sample will be taken from a population, and.
Variance and Standard Deviation The Expected Value of a random variable gives the average value of the distribution The Standard Deviation shows how spread.
PROBABILITY AND SAMPLES: THE DISTRIBUTION OF SAMPLE MEANS.
Lecture 4 Random Errors in Chemical Analysis. Uncertainty in multiplication and division Uncertainty in addition and subtraction.
Lottery Problem A state run monthly lottery can sell 100,000tickets at $2 a piece. A ticket wins $1,000,000with a probability , $100 with probability.
Discussing the student measurements of building height. Letting them originate concepts for: Multiple measures Mean Standard Deviation Outliers / identifying.
In this chapter we will consider two very specific random variables where the random event that produces them will be selecting a random sample and analyzing.
Poisson Random Variable Provides model for data that represent the number of occurrences of a specified event in a given unit of time X represents the.
Statistical Experiment A statistical experiment or observation is any process by which an measurements are obtained.
6.3 Continuous Random Variables and the Normal Probability Distribution Objectives: By the end of this section, I will be able to… 1) Identify a continuous.
REVIEW. IS THE FOLLOWING A PROBABILITY DISTRIBUTION? XP(x)
Section 5.2 The Sampling Distribution of the Sample Mean.
Study Habits (a) Randomly selected student’s scores would presumably be unrelated. (b) The mean of the difference: 120 – 105 = 15 points. The variance.
7.3 and 7.4 Extra Practice Quiz: TOMORROW THIS REVIEW IS ON MY TEACHER WEB PAGE!!!
Statistics 300: Elementary Statistics Section 6-5.
§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.
Random Variables Ch. 6. Flip a fair coin 4 times. List all the possible outcomes. Let X be the number of heads. A probability model describes the possible.
Hypothesis Testing and the T Test. First: Lets Remember Z Scores So: you received a 75 on a test. How did you do? If I said the mean was 72 what do you.
Term 1 Week 7 Warm Ups. Warm Up 9/22/14 1.Students were asked to measure the width of their desks in centimeters. Identify the outlier, and describe how.
Honors Advanced Algebra Presentation 1-6. Vocabulary.
STA 2023 Section 5.4 Sampling Distributions and the Central Limit Theorem.
Central Limit Theorem Let X 1, X 2, …, X n be n independent, identically distributed random variables with mean  and standard deviation . For large n:
Normal Probability Distributions Chapter 5. § 5.2 Normal Distributions: Finding Probabilities.
m/sampling_dist/index.html.
Ka-fu Wong © 2007 ECON1003: Analysis of Economic Data Lesson0-1 Supplement 2: Comparing the two estimators of population variance by simulations.
為巴基斯坦禱告短片: 更多亞洲國家禱告資訊,請瀏覽:
Mean and Standard Deviation
Random Variables and Probability Distribution (2)
1 Random, normal, es =
5.2 Normal Distributions: Finding Probabilities
Random Variable.
Discrete and Continuous Random Variables
LESSON 7-3 Accounts Receivable Turnover Ratio
العدد تذكيره وتأنيثه مقدمة
LESSON 7-3 Accounts Receivable Turnover Ratio
Means and Variances of Random Variables
An Example of {AND, OR, Given that} Using a Normal Distribution
By Adlyn Hernandez Research in Ecology
عمل الطالبة : هايدى محمد عبد المنعم حسين
آشنايی با اصول و پايه های يک آزمايش
11.6 Geometric Probability
The Normal Probability Distribution Summary
Random Variable.
SWBAT: Review sampling distributions of sample proportions and means
Consider the following problem
Use the graph of the given normal distribution to identify μ and σ.
Statistics.
The mean value of land and buildings per acre for farms is $1300, with a standard deviation of $250. A random sample of size 36 is drawn. 1) What is the.
Statistics: Analyzing Data and Probability Day 5
Bernoulli Trials Two Possible Outcomes Trials are independent.
Name:________________ Date:_________________ Class Period:___________
Pairwise Markov Networks
Standard Deviation for Probability Distributions
Power Problems.
Topic 1 Statistical Analysis.
Combining Random Variables
An Example of {AND, OR, Given that} Using a Normal Distribution
RANDOM NUMBERS SET # 1:
Consider the following problem
Presentation transcript:

Analyzing Your Data

Was my difference caused by random factors?

Bob’s Data C1T

Alice’s Data C2T

Bob’s Data C1T C2T Alice’s Data

Bob’s DataAlice’s Data

Bob’s DataAlice’s Data C1 Standard Deviation: 2.05 T1 Standard Deviation: 1.41 C2 Standard Deviation: 0.82 T2 Standard Deviation: 0.82 Average Standard Deviation: 1.73 Average Standard Deviation: 0.82

Bob’s DataAlice’s Data Average Standard Deviation: 1.73 Average Standard Deviation: / 1.73 =.58 Effect Size =.58 1 / 0.82 = 1.22 Effect Size = 1.22 Effect Size > 1 = GOOD!

t-Tests

C1T C2T Bob’s DataAlice’s Data For Alice’s Data For Bob’s Data

p = probability that your difference was due to random factors!

Bob’s DataAlice’s Data p = >.05 (22% probability that Bob’s results are due to chance) p = <.05 (1% probability that Alice’s results are due to chance)

Thank You & Happy Analyses!