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Blood clotting is due to a sequence of chemical reactions. The protein thrombin initiates blood clotting by working with another protein, prothrombin. It is common to measure an individual's blood clotting time as prothrombin time, the time between the start of the thrombin-prothrombin reaction and the formation of the clot. Researchers wanted to study the effect of aspirin on prothrombin time. a)Fill in the values for the differences, absolute value of the differences, and signed ranks.  b)Calculate T− and T+

Blood clotting is due to a sequence of chemical reactions. The protein thrombin initiates blood clotting by working with another protein, prothrombin. It is common to measure an individual's blood clotting time as prothrombin time, the time between the start of the thrombin-prothrombin reaction and the formation of the clot. Researchers wanted to study the effect of aspirin on prothrombin time. a)Fill in the values for the differences, absolute value of the differences, and signed ranks.  b)Calculate T− and T+

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Blood clotting is due to a sequence of chemical reactions. The protein thrombin initiates blood clotting by working with another protein, prothrombin. It is common to measure an individual's blood clotting time as prothrombin time, the time between the start of the thrombin-prothrombin reaction and the formation of the clot. Researchers wanted to study the effect of aspirin on prothrombin time.

a)Fill in the values for the differences, absolute value of the differences, and signed ranks. 

b)Calculate T− and T+ 

This table represents data collected for an analysis comparing measurements taken "Before" and "After" a specified condition across 12 subjects. It includes columns for the raw data and subsequent calculations required for statistical analysis. ### Table Description: - **Subject**: The identifier for each individual subject (1 to 12). - **Before**: Measurements taken before the treatment or condition. - **After**: Measurements taken after the treatment or condition. - **D = Before - After**: The difference between the "Before" and "After" measurements for each subject. This column is intended to show the change. - **|D|**: The absolute value of D, representing the magnitude of change irrespective of direction. - **Signed Ranks**: Ranks assigned based on the absolute differences, taking into account their sign (positive or negative). This column is generally used for non-parametric statistical tests, such as the Wilcoxon signed-rank test. ### Observations: - Subjects with identical "Before" and "After" values have a difference (D) of zero. - Calculations in the "D", "|D|", and "Signed Ranks" columns are necessary to complete the data analysis. These have been left blank, indicating they are to be completed as part of further analysis. This table is commonly used in educational contexts to teach statistical testing and analysis concepts, focusing on paired data comparisons and rank-based testing methods.
Transcribed Image Text:This table represents data collected for an analysis comparing measurements taken "Before" and "After" a specified condition across 12 subjects. It includes columns for the raw data and subsequent calculations required for statistical analysis. ### Table Description: - **Subject**: The identifier for each individual subject (1 to 12). - **Before**: Measurements taken before the treatment or condition. - **After**: Measurements taken after the treatment or condition. - **D = Before - After**: The difference between the "Before" and "After" measurements for each subject. This column is intended to show the change. - **|D|**: The absolute value of D, representing the magnitude of change irrespective of direction. - **Signed Ranks**: Ranks assigned based on the absolute differences, taking into account their sign (positive or negative). This column is generally used for non-parametric statistical tests, such as the Wilcoxon signed-rank test. ### Observations: - Subjects with identical "Before" and "After" values have a difference (D) of zero. - Calculations in the "D", "|D|", and "Signed Ranks" columns are necessary to complete the data analysis. These have been left blank, indicating they are to be completed as part of further analysis. This table is commonly used in educational contexts to teach statistical testing and analysis concepts, focusing on paired data comparisons and rank-based testing methods.
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