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- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/14%3A_Multiple_and_Logistic_Regression/14.01%3A_Introduction_to_Multiple_RegressionMultiple regression extends simple two-variable regression to the case that still has one response but many predictors. The method is motivated by scenarios where many variables may be simultaneously ...Multiple regression extends simple two-variable regression to the case that still has one response but many predictors. The method is motivated by scenarios where many variables may be simultaneously connected to an output.
- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/13%3A_Introduction_to_Linear_Regression/13.06%3A_ExercisesExercises for Chapter 7 of the "OpenIntro Statistics" textmap by Diez, Barr and Çetinkaya-Rundel.
- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/01%3A_Basics/1.02%3A_Working_with_Data/1.2.06%3A_Observational_Studies_and_Sampling_StrategiesGenerally, data in observational studies are collected only by monitoring what occurs, what occurs, while experiments require the primary explanatory variable in a study be assigned for each subject b...Generally, data in observational studies are collected only by monitoring what occurs, what occurs, while experiments require the primary explanatory variable in a study be assigned for each subject by the researchers. Making causal conclusions based on experiments is often reasonable. However, making the same causal conclusions based on observational data can be treacherous and is not recommended. Thus, observational studies are generally only sufficient to show associations.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/08%3A_Finding_Confidence_Interval_for_Population_Mean_and_Proportion/8.01%3A_Inference_for_Numerical_Data/8.1.03%3A_Difference_of_Two_MeansIn this section we consider a difference in two population means, μ1−μ2, under the condition that the data are not paired. The methods are similar in theory but different in the details. Just as with...In this section we consider a difference in two population means, μ1−μ2, under the condition that the data are not paired. The methods are similar in theory but different in the details. Just as with a single sample, we identify conditions to ensure a point estimate of the difference is nearly normal. Next we introduce a formula for the standard error, which allows us to apply our general tools discussed previously.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/08%3A_Finding_Confidence_Interval_for_Population_Mean_and_Proportion/8.01%3A_Inference_for_Numerical_DataChapter 4 introduced a framework for statistical inference based on con dence intervals and hypotheses. In each case, the inference ideas remain the same: Identify an appropriate distribution for the ...Chapter 4 introduced a framework for statistical inference based on con dence intervals and hypotheses. In each case, the inference ideas remain the same: Identify an appropriate distribution for the point estimate or test statistic. Each section in Chapter 5 explores a new situation: the difference of two means (5.1, 5.2); a single mean or difference of means where we relax the minimum sample size condition (5.3, 5.4); and the comparison of means across multiple groups (5.5).
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/10%3A_Hypothesis_Testing_about_Two_Population_Means_and_Proportions/10.01%3A_Inference_for_Categorical_Data/10.1.04%3A_Testing_for_Independence_in_Two-Way_Tables_(Special_Topic)If there really is no difference among the algorithms and 70.78% of people are satisfied with the search results, how many of the 5000 people in the "current algorithm" group would be expected to not ...If there really is no difference among the algorithms and 70.78% of people are satisfied with the search results, how many of the 5000 people in the "current algorithm" group would be expected to not perform a new search? 26 The test statistic is larger than the right-most column of the df = 2 row of the chi-square table, meaning the p-value is less than 0.001.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/10%3A_Hypothesis_Testing_about_Two_Population_Means_and_Proportions/10.01%3A_Inference_for_Categorical_Data/10.1.02%3A_Difference_of_Two_ProportionsWe would like to make conclusions about the difference in two population proportions: p1−p2. We consider three examples. In the first, we compare the approval of the 2010 healthcare law under two dif...We would like to make conclusions about the difference in two population proportions: p1−p2. We consider three examples. In the first, we compare the approval of the 2010 healthcare law under two different question phrasings. In the second application, a company weighs whether they should switch to a higher quality parts manufacturer.
- https://stats.libretexts.org/Courses/City_University_of_New_York/Introductory_Statistics_with_Probability_(CUNY)/10%3A_Hypothesis_Testing_for_Paired_and_Unpaired_Data/10.05%3A_Difference_of_Two_MeansIn this section we consider a difference in two population means, μ1−μ2, under the condition that the data are not paired. The methods are similar in theory but different in the details. Just as with...In this section we consider a difference in two population means, μ1−μ2, under the condition that the data are not paired. The methods are similar in theory but different in the details. Just as with a single sample, we identify conditions to ensure a point estimate of the difference is nearly normal. Next we introduce a formula for the standard error, which allows us to apply our general tools discussed previously.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./08%3A_Multiple_and_Logistic_Regression/8.05%3A_ExercisesExercises for Chapter 8 of the "OpenIntro Statistics" textmap by Diez, Barr and Çetinkaya-Rundel.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./05%3A_Inference_for_Numerical_DataChapter 4 introduced a framework for statistical inference based on con dence intervals and hypotheses. In each case, the inference ideas remain the same: Identify an appropriate distribution for the ...Chapter 4 introduced a framework for statistical inference based on con dence intervals and hypotheses. In each case, the inference ideas remain the same: Identify an appropriate distribution for the point estimate or test statistic. Each section in Chapter 5 explores a new situation: the difference of two means (5.1, 5.2); a single mean or difference of means where we relax the minimum sample size condition (5.3, 5.4); and the comparison of means across multiple groups (5.5).
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./01%3A_Introduction_to_Data/1.01%3A_Prelude_to_Introduction_to_DataScientists seek to answer questions using rigorous methods and careful observations. These observations form the backbone of a statistical investigation and are called data. Statistics is the study of...Scientists seek to answer questions using rigorous methods and careful observations. These observations form the backbone of a statistical investigation and are called data. Statistics is the study of how best to collect, analyze, and draw conclusions from data. It is helpful to put statistics in the context of a general process of investigation: Identify a question or problem. Collect relevant data on the topic. Analyze the data. Form a conclusion.
