7 Hypothesis testing
... The corresponding interval with X̄ replaced by x̄ is called a 95% confidence interval for µ. Note there is no guarantee that any specific confidence interval contains µ with 95% probability, indeed this statement would be meaningless since µ is not a random variable. Nevertheless a confidence interv ...
... The corresponding interval with X̄ replaced by x̄ is called a 95% confidence interval for µ. Note there is no guarantee that any specific confidence interval contains µ with 95% probability, indeed this statement would be meaningless since µ is not a random variable. Nevertheless a confidence interv ...
Probability and Statistics
... Statistical Distributions: Testing the Significance of a Correlation The easiest way to test this hypothesis is to find a statistics book/package that has a table of critical values of r. As in all hypothesis testing, you need to first determine the significance level. Here, I'll use the common sig ...
... Statistical Distributions: Testing the Significance of a Correlation The easiest way to test this hypothesis is to find a statistics book/package that has a table of critical values of r. As in all hypothesis testing, you need to first determine the significance level. Here, I'll use the common sig ...
CHAPTER 6 REVIEW QUIZ (11 POINTS) 1. A researcher is
... average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant even a ...
... average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant even a ...
aachen_stat_2
... Suppose only one background type b; overall fractions of signal and background events are ps and pb (prior probabilities). Suppose we select events with t < tcut. What is the ‘purity’ of our selected sample? Here purity means the probability to be signal given that the event was accepted. Using Baye ...
... Suppose only one background type b; overall fractions of signal and background events are ps and pb (prior probabilities). Suppose we select events with t < tcut. What is the ‘purity’ of our selected sample? Here purity means the probability to be signal given that the event was accepted. Using Baye ...
Statistical Inference Confidence Intervals
... Idea: Estimate parameters of the population distribution using data. How: Use the sampling distribution of sample statistics and methods based on “what would happen if we used this inference procedure many times.” 1. Confidence Intervals 2. Hypothesis Tests Note: Be sure that you understand the mean ...
... Idea: Estimate parameters of the population distribution using data. How: Use the sampling distribution of sample statistics and methods based on “what would happen if we used this inference procedure many times.” 1. Confidence Intervals 2. Hypothesis Tests Note: Be sure that you understand the mean ...
1-Sample t Exercise - Open Source Six Sigma
... Exercise objective: Utilize what you have learned to conduct and analyze a one sample t-test using MINITABTM. 1. The last engineering estimation said we would achieve a product with average results of 32 parts per million (ppm). ...
... Exercise objective: Utilize what you have learned to conduct and analyze a one sample t-test using MINITABTM. 1. The last engineering estimation said we would achieve a product with average results of 32 parts per million (ppm). ...
1. Overview of basic probability 13.42 Design Principles for Ocean Vehicles
... Empirically, probability can be defined as the number of favorable outcomes divided by the total number of outcomes, in other words, the chance that an event will occur. Formally, the probability, p of an event can be described as the normalized “area” of some event within an event space, S , that c ...
... Empirically, probability can be defined as the number of favorable outcomes divided by the total number of outcomes, in other words, the chance that an event will occur. Formally, the probability, p of an event can be described as the normalized “area” of some event within an event space, S , that c ...
Statistical Justification of Animal Numbers Used in Research and Teaching Overview:
... Numbers are determined by a specified student-to-animal ratio. The choice of the specified ratio must be explained in the justification statement. (see example 1) Field studies. Breeding protocols to maintain a certain strain of animals available for future research activities. The PI should provide ...
... Numbers are determined by a specified student-to-animal ratio. The choice of the specified ratio must be explained in the justification statement. (see example 1) Field studies. Breeding protocols to maintain a certain strain of animals available for future research activities. The PI should provide ...
CHAPTER 4 Basic Probability and Discrete Probability Distributions
... too improbable under the null and reject the null, but this does not mean it is impossible. We could hang an innocent person. Type II Error: not rejecting a null that is, in fact, false. We may find an average weight of 370 grams and decide this is not improbable enough to reject the null hypothesis ...
... too improbable under the null and reject the null, but this does not mean it is impossible. We could hang an innocent person. Type II Error: not rejecting a null that is, in fact, false. We may find an average weight of 370 grams and decide this is not improbable enough to reject the null hypothesis ...
Ch07.PowerPoint
... Smoothing, Correlation, Covariance, Moving Average, and others. The Descriptive Statistics option provides a list of statistical information about a data set, including the mean, median, standard deviation, and variance. Histograms calculate the number of occurrences, or frequency, which values in a ...
... Smoothing, Correlation, Covariance, Moving Average, and others. The Descriptive Statistics option provides a list of statistical information about a data set, including the mean, median, standard deviation, and variance. Histograms calculate the number of occurrences, or frequency, which values in a ...