Shaffe’s Test | Multiple Comparison Test | Post Hoc Test

The Scheffé Test is a post-hoc test used after ANOVA to identify significant differences among group means. It is highly conservative and controls the overall Type I error rate across all possible comparisons, making it particularly suitable for exploratory analyses involving many comparisons. Steps in Conducting the Scheffé Test 1. Perform ANOVA: Ensure that ANOVA yields a statistically significant result (). 2. Identify the Contrast: Define the specific comparison or contrast of interest (e.g., the difference between two means or the average of multiple groups). 3. Calculate the Scheffé Test Statistic: 4. Compare to the Critical Value: The critical value is derived from the -distribution with degrees of freedom (where is the number of groups) and (total sample size minus the number of groups). Alternatively, compare the -value to the significance level (e.g., ). 5. Determine Significance: If the calculated -value exceeds the critical -value, the contrast is significant #analysisofvariance #DMRtest #sheffietest #lsdtest #multiplecomparisontest When to Use the Scheffé Test Exploratory Analysis: Ideal for studies involving many comparisons or complex contrasts, where control of Type I error is critical. Small Number of Groups: Best suited for experiments with a manageable number of groups to offset its reduced sensitivity. For simpler comparisons or a higher number of groups, less conservative tests like Tukey's HSD or Bonferroni correction may be more appropriate. Analysis of Variance #anova #analysisofvariance #block #treatment #experimentalunit #experimentalmaterial #onewayanova #onewayanovawithequalsample #twowayanova #partitionoftotalsumofsquares #anovawithmissingvalue #leastsignificantdifferencetest #lsdtest #duncanmultiplerangetest #dmrtest #sheffietest #multiplecomparisontest #degreeoffreedom #assumptionsofanova #applicationofanova #usesofanova #derivedegreeoffreedom #derivetotalsumofsquares In this chapter we discuss... https://youtu.be/kPgPigEY4PY?si=FtW3DFkeEgHILzs https://youtu.be/g3SRdZ1jIug?si=hlayP3LPQ9vOnuX4 https://youtu.be/GIoJsKjM1oM?si=iDD-q_9SZDDlW7jY https://youtu.be/NfhZsvJBlPE?si=zkxGNeb29jE5kIn https://youtu.be/NYvpJPSjvJ4?si=uM5qPCkC7pWJAc https://youtu.be/Oz8u4HJu2FI?si=xBi5D6AKUlJIvNI https://youtu.be/BMK2--_QK_0?si=q0fiRE27v9n-DWbW https://youtu.be/p6Jp4Sbuw9U?si=FPPKY6B8xOBOli6 https://youtu.be/9MyRM9piFmk?si=pAIB344xPShwAUMw https://youtu.be/lV4UOzqDX6I?si=dvmVNIchq88HWYc9 https://youtu.be/tzCSPixxKcQ?si=mj7NpTH4eGk2N5Lx https://youtu.be/x3EpLyQvg9g?si=uDvw_vBrEy9gAE0P https://youtu.be/A1jd64bolMU?si=1QYfNWqN2gvvWE5y https://youtu.be/MYPoBKhqlts?si=aOops1RLermZbsyp https://youtu.be/8RuXwPKAipg?si=OkWjTAHvwfZYAJb Links Play List https://youtube.com/@Mstatistics?si=g4WZatoeiGtGxE2Y https://youtube.com/playlist?list=PLE6FeA-mAm2cw0QJvkmDtXSuFMOcyR22k&si=cFZMBQXx3-NsxEFs https://youtube.com/playlist?list=PLE6FeA-mAm2ckQ2g3PbZa3JFcS7Dch6zH&si=d8tX6T5bikR9ZOvT https://youtube.com/playlist?list=PLE6FeA-mAm2fC2vBS9Tsm1pNq0jrHRBRN&si=Z1xXtYnu3ZLghz2L https://youtube.com/playlist?list=PLE6FeA-mAm2cTiJSRpFQXUXxnwPRnMYd2&si=fwbLBOwb9OZ7KvcT https://youtube.com/playlist?list=PLE6FeA-mAm2cJBSS7MFtY_qNt0S98LrUf&si=xeKv_QM2eETnFtHs https://youtube.com/playlist?list=PLE6FeA-mAm2fN6DP_jOvUmd-Vz7JRCCju&si=APcCUnxh3-09A1vK https://youtube.com/playlist?list=PLE6FeA-mAm2enYtyM0hNZwwkeiDk9_U-n&si=WsmS9fHwFAHWUc9m https://youtube.com/playlist?list=PLE6FeA-mAm2c09AkhYm67o80t3QmDFlUe&si=cUux7KQiJtMm_zqf https://youtube.com/playlist?list=PLE6FeA-mAm2f8b5z-TB-Xa2LaVW-4RlOB&si=xg0ykFRadIZ9ROSi https://youtube.com/playlist?list=PLE6FeA-mAm2e2W1skwNMXb-pAIabRg87w&si=qZ2syfTp0o7mVQjF https://youtube.com/playlist?list=PLE6FeA-mAm2ep0-7j0_5rUjOiO5khbIMe&si=YJ9fRiDw9c_0kQv1 https://youtube.com/playlist?list=PLE6FeA-mAm2eOw--_Qx6fI74O30PdHgOR&si=WLTgwi1S5RY7EuCO https://youtube.com/playlist?list=PLE6FeA-mAm2fPYYT9uC7OJW_qLiDaQRru&si=8bzkAdH1r9FNlJVT https://youtube.com/playlist?list=PLE6FeA-mAm2ePUb5xru9NFGVvT8rYV-KB&si=5ePtgzTDDaxwb1RZ https://youtube.com/playlist?list=PLE6FeA-mAm2elLeIiEJRKDXhQhYQ2GKgg&si=5QXO6vckhfVLejYL https://youtube.com/playlist?list=PLE6FeA-mAm2fyU7Rjk_B4nHMw-jzzf_1A&si=qNftTMbZ137sz5L3 https://youtube.com/playlist?list=PLE6FeA-mAm2c6lj4Fh08DgfZd6YirTqcA&si=-4wtZjdZrbE6vGqK https://youtube.com/playlist?list=PLE6FeA-mAm2csE5-qXt-MHRlmDzsC3E1m&si=YgOCBQq_gQyEQ4Cj https://youtube.com/playlist?list=PLE6FeA-mAm2fszoMIzaEtjqDZgWrxG2Ff&si=DJSuWXIJldNeBxLy https://youtube.com/playlist?list=PLE6FeA-mAm2d7nig0ltxb7c9RhtVnVLVE&si=6JvgcHLtHPysO_Cc https://youtube.com/playlist?list=PLE6FeA-mAm2fwvWmbbgjwuJ2krHcUV4uF&si=7WcT2fYG8Bo11NnB