You can expect to have Lab #1 back next week. Due NEXT CLASS: Lab #2: The Scientific Method –pre-Lab exercise (man: 41&42; pdf: 22&23) –lab exercise (Pt.

Slides:



Advertisements
Similar presentations
Lecture (11,12) Parameter Estimation of PDF and Fitting a Distribution Function.
Advertisements

Quantitative Skills 4: The Chi-Square Test
1-1 Copyright © 2015, 2010, 2007 Pearson Education, Inc. Chapter 25, Slide 1 Chapter 25 Comparing Counts.
Chi-square Test of Independence
1 SOC 3811 Basic Social Statistics. 2 Reminder  Hand in your assignment 5  Remember to pick up your previous homework  Final exam: May 12 th (Saturday),
Aaker, Kumar, Day Seventh Edition Instructor’s Presentation Slides
PSY 307 – Statistics for the Behavioral Sciences Chapter 19 – Chi-Square Test for Qualitative Data Chapter 21 – Deciding Which Test to Use.
Chi-square Goodness of Fit Test
Chapter 12 Inferential Statistics Gay, Mills, and Airasian
Independent t-tests.  Use when:  You are examining differences between groups  Each participant is tested once  Comparing two groups only.
The Chi-Square Test Used when both outcome and exposure variables are binary (dichotomous) or even multichotomous Allows the researcher to calculate a.
The Chi-square Statistic. Goodness of fit 0 This test is used to decide whether there is any difference between the observed (experimental) value and.
AM Recitation 2/10/11.
11.4 Hardy-Wineberg Equilibrium. Equation - used to predict genotype frequencies in a population Predicted genotype frequencies are compared with Actual.
Aaker, Kumar, Day Ninth Edition Instructor’s Presentation Slides
Copyright © 2012 Pearson Education. All rights reserved Copyright © 2012 Pearson Education. All rights reserved. Chapter 15 Inference for Counts:
AP STATISTICS LESSON 13 – 1 (DAY 1) CHI-SQUARE PROCEDURES TEST FOR GOODNESS OF FIT.
 Involves testing a hypothesis.  There is no single parameter to estimate.  Considers all categories to give an overall idea of whether the observed.
EDRS 6208 Analysis and Interpretation of Data Non Parametric Tests
Copyright © 2010 Pearson Education, Inc. Warm Up- Good Morning! If all the values of a data set are the same, all of the following must equal zero except.
Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 10 Inferring Population Means.
Chi-Square as a Statistical Test Chi-square test: an inferential statistics technique designed to test for significant relationships between two variables.
Chapter 9: Non-parametric Tests n Parametric vs Non-parametric n Chi-Square –1 way –2 way.
Chapter 16 The Chi-Square Statistic
Preparing for the final - sample questions with answers.
Difference Between Means Test (“t” statistic) Analysis of Variance (“F” statistic)
Experimental Design and Analysis Instructor: Mark Hancock February 8, 2008Slides by Mark Hancock.
Slide 26-1 Copyright © 2004 Pearson Education, Inc.
Analyze Improve Define Measure Control L EAN S IX S IGMA L EAN S IX S IGMA Chi-Square Analysis Chi-Square Analysis Chi-Square Training for Attribute Data.
Educational Research Chapter 13 Inferential Statistics Gay, Mills, and Airasian 10 th Edition.
Learning Objectives Copyright © 2002 South-Western/Thomson Learning Statistical Testing of Differences CHAPTER fifteen.
Fitting probability models to frequency data. Review - proportions Data: discrete nominal variable with two states (“success” and “failure”) You can do.
Copyright © 2010 Pearson Education, Inc. Slide
Comparing Counts.  A test of whether the distribution of counts in one categorical variable matches the distribution predicted by a model is called a.
N318b Winter 2002 Nursing Statistics Specific statistical tests Chi-square (  2 ) Lecture 7.
Copyright © 2010 Pearson Education, Inc. Warm Up- Good Morning! If all the values of a data set are the same, all of the following must equal zero except.
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 11 Analyzing the Association Between Categorical Variables Section 11.2 Testing Categorical.
Chapter 15 The Chi-Square Statistic: Tests for Goodness of Fit and Independence PowerPoint Lecture Slides Essentials of Statistics for the Behavioral.
Lecture 11. The chi-square test for goodness of fit.
Chapter 13- Inference For Tables: Chi-square Procedures Section Test for goodness of fit Section Inference for Two-Way tables Presented By:
Difference Between Means Test (“t” statistic) Analysis of Variance (F statistic)
Comparing Counts Chapter 26. Goodness-of-Fit A test of whether the distribution of counts in one categorical variable matches the distribution predicted.
Chi Square Test for Goodness of Fit Determining if our sample fits the way it should be.
DRAWING INFERENCES FROM DATA THE CHI SQUARE TEST.
Statistical principles: the normal distribution and methods of testing Or, “Explaining the arrangement of things”
CHI SQUARE DISTRIBUTION. The Chi-Square (  2 ) Distribution The chi-square distribution is the probability distribution of the sum of several independent,
Chi Square Analysis. What is the chi-square statistic? The chi-square (chi, the Greek letter pronounced "kye”) statistic is a nonparametric statistical.
Goodness-of-Fit A test of whether the distribution of counts in one categorical variable matches the distribution predicted by a model is called a goodness-of-fit.
Statistical Analysis: Chi Square
Tests of hypothesis Contents: Tests of significance for small samples
What you are turning in NOW…
BUS 308 mentor innovative education/bus308mentor.com
Chapter 12 Tests with Qualitative Data
Chapter 25 Comparing Counts.
Qualitative data – tests of association
Statistical Analysis Determining the Significance of Data
Part IV Significantly Different Using Inferential Statistics
Chapter 10 Analyzing the Association Between Categorical Variables
Statistical Analysis: Chi Square
Analyzing the Association Between Categorical Variables
Chi2 (A.K.A X2).
Chapter 26 Comparing Counts.
11E The Chi-Square Test of Independence
Chi-Squared AP Biology.
Copyright © Cengage Learning. All rights reserved.
Chapter 26 Comparing Counts Copyright © 2009 Pearson Education, Inc.
Chapter 26 Comparing Counts.
Skills 5. Skills 5 Standard deviation What is it used for? This statistical test is used for measuring the degree of dispersion. It is another way.
Quadrat sampling & the Chi-squared test
Quadrat sampling & the Chi-squared test
Presentation transcript:

You can expect to have Lab #1 back next week

Due NEXT CLASS: Lab #2: The Scientific Method –pre-Lab exercise (man: 41&42; pdf: 22&23) –lab exercise (Pt II: The Great Pillbug Exp {man: 49-51; pdf: }) Lab #3: Investigations into Properties of Solution to check for completion –pre-Lab exercise (man: ; pdf: ) Tuesday, February Thursday, February Friday, February

Let’s take a sec… 1. Which is larger? A millimeter or a centimeter. 2. Using the METER as our base unit of measurement, How many places do I move the decimal to find the equivalent: Centimeter: _________________ Nanometer: _________________ 3. How many MILLIMETERS are present in the following measurements: 56 nm: _________________.13 μm: _________________

Let’s get to WORK!!! Part I we will work on together! These for the most part are new concepts. If the class is moving a bit too slow for you, please feel free to look over the next part of the lab or work on the pre-lab for next week. Let’s get to WORK!!! Part I we will work on together! These for the most part are new concepts. If the class is moving a bit too slow for you, please feel free to look over the next part of the lab or work on the pre-lab for next week.

g Copyright © 2005 Marine Discovery

Scientific name: Armadillidium vulgare Kingdom: Animalia Belongs to the order Isopoda, a family of woodlice Only crustacean that is able to spend its lifetime on land Folds itself into a small as a defense mechanism or response to vibration or pressure Live in wet locations and are often found in damp environments Have gill-like structures that extract oxygen from its environment; but cannot live under water!

The Great Pillbug Experiment! Pillbugs are found under objects on damp ground. You might wonder what attracts the pillbugs to that environment – is it the moisture, darkness, or both moisture and darkness, or some other factor? In this lab you will form and test hypotheses regarding this question.

Hypothesis: Pillbugs are not attracted to or repelled by dark (Null hypothesis) Experimental Design Subject: 20 pillbugs Experimental Variable: Shaded part of the pan Controlled Variable: Metal pan, atmosphere is dry Dependent Variable: Migration to a specific part of the pan Expected/Predicted Result: There will be a 50/50 ratio of the pillbugs in the dark or the light. Observed Result: 8 pillbugs went to the light part, 12 pillbugs went to the dark part.

 2 (Chi Square) – Goodness of Fit Test Statistical analysis is an important tool in academic research Different ways of calculating/analyzing and interpreting data: -t-test -Analysis of Variance (ANOVA) -Regressional Analysis  2 (Chi Square)

 2 (Chi Square) – Goodness of Fit Test Advantages: Can be used to test the difference between an actual sample (actual data) and hypothetical expectations (expected outcome from a hypothesis) Used to test the difference between what you expect to find from an experiment, and what you actually find from an experiment Examine differences in data between categories Very easy to calculate!!! Disadvantages: Can only be used on raw data that is counted (cannot be used for measurements, proportions or percentages) A type of nonparametric statistics and is not as powerful as other types of statistical methods

Χ 2 (Chi Square) = ∑ (Observed Frequency – Expected Frequency) 2 Expected Frequency ∑ = expression of a sum of values of variables Observed frequency = actual data that is observed Expected frequency = data that is expected  2 (Chi Square) – Goodness of Fit Test

Hypothesis: Pillbugs are not attracted to or repelled by dark (Null hypothesis) Data: Expected ratio of light/dark = 10/10 Observed ratio of light/dark= 8/12 So what does this  2 value mean???

Hypothesis: Pillbugs are not attracted to or repelled by dark (Null hypothesis) Data: Expected ratio of light/dark = 10/10 Observed ratio of light/dark= 8/12 So what does this  2 value mean???

Interpretation of the value is base on  2 Distribution Table: df (degrees of freedom) = # of parameters/value that are allowed to vary = (number of classes – 1) p-value (probability) = expresses whether the differences between what is observed and what is expected is due to chance In most cases a p-value less than 5% (p<0.05) describes statistical difference between what is observed and what is expected. Hypothesis: Pillbugs are not attracted to or repelled by dark (Null hypothesis) QUESTIONS: 1.Is there a difference between the number of pillbugs in the light/dark we predicted, and the actual number of pillbugs in the light/dark we observed? 2.Should be reject or accept our hypothesis? No. The p-value is greater than 5%. There is no statistical difference between the hypothesis and the observation. ACCEPT!

Hypothesis: Pillbugs are attracted to the dark. Experimental Design Subject: 20 pillbugs Experimental Variable: Shaded part of the pan Controlled Variable: Metal pan, atmosphere is dry Dependent Variable: Migration to the dark part of the pan Expected/Predicted Result: All of the pillbugs will stay in the “dark” part of the pan. Observed Result: 8 pillbugs went to the light part, 12 pillbugs went to the dark part.

Hypothesis: Pillbugs are attracted to the dark. Data: Expected ratio of light/dark = 0/20 Observed ratio of light/dark= 8/12 So what does this  2 value mean???

Hypothesis: Pillbugs are attracted to the dark. Data: Expected ratio of light/dark = 0/20 Observed ratio of light/dark= 8/12 So what does this  2 value mean???

Interpretation of the value is base on  2 Distribution Table: df (degrees of freedom) = # of parameters/value that are allowed to vary = (number of classes – 1) p-value (probability) = expresses whether the differences between what is observed and what is expected is due to chance In most cases a p-value less than 5% (p<0.05) describes statistical difference between what is observed and what is expected. Hypothesis: Pillbugs are attracted to the dark QUESTIONS: 1.Is there a difference between the number of pillbugs in the light/dark we predicted, and the actual number of pillbugs in the light/dark we observed? 2.Should be reject or accept our hypothesis? Yes; but the p-value is greater than 5%. There is not enough statistical difference between the hypothesis and the observation. REJECT!

Let’s get to WORK!!! Part II you will work on without my direct assistance. If/when you have any questions, be sure to ASK! I might not give you the answer you wanted, but I’ll certainly help you in the thinking process… Let’s get to WORK!!! Part II you will work on without my direct assistance. If/when you have any questions, be sure to ASK! I might not give you the answer you wanted, but I’ll certainly help you in the thinking process…

Hypothesis #3 When you “Develop a Hypothesis of Your Choosing”, what do you have to be sure you keep in mind with your manipulated (independent) variable? Hypothesis #3 When you “Develop a Hypothesis of Your Choosing”, what do you have to be sure you keep in mind with your manipulated (independent) variable?