BIOA02H3 S2022 – Statistics Worksheets for Heavy Metal Stress Experiment Use
these worksheets to help you work through your statistical analysis for
your FLR. You do not need to submit these worksheets with your report. To determine if there are any significant differences you will perform 14 t-tests. A.
In the first series of t-tests, you will compare means for each heavy
metal stress treatment group and its respective control treatment for both plant height and aboveground fresh weight (8 t-tests). Comparisons Test # Variable Group 1 Group 2 1 Plant height (cm) Col-0 (experimental treatment) Col-0 (control treatment) 2 Lov-1 (experimental treatment) Lov-1 (control treatment) 3 Ws-2 (experimental treatment) Ws-2 (control treatment) 4 Santa Clara (experimental treatment) Santa Clara (control treatment) 5 Aboveground fresh weight (g) Col-0 (experimental treatment) Col-0 (control treatment) 6 Lov-1 (experimental treatment) Lov-1 (control treatment) 7 Ws-2 (experimental treatment) Ws-2 (control treatment) 8 Santa Clara (experimental treatment) Santa Clara (control treatment) B. In the second series of t-tests, you will make comparisons within the experimental treatment group treatment for both plant height and aboveground fresh weight. (6 t-tests). Comparisons Test # Variable Group 1 Group 2 1 Plant height (cm) Col-0 (experimental treatment) Lov-1 (experimental treatment) 2 Col-0 (experimental treatment) Ws-2 (experimental treatment) 3 Col-0 (experimental treatment) Santa Clara (experimental treatment) 4 Aboveground fresh weight (g) Col-0 (experimental treatment) Lov-1 (experimental treatment) 5 Col-0 (experimental treatment) Ws-2 (experimental treatment) 6 Col-0 (experimental treatment) Santa Clara (experimental treatment) Test A1 Plant height (cm) Test A2 Plant height (cm) TREATMENT Col-0 (experimental treatment) Col-0 (control treatment) Lov-1 (experimental treatment) Lov-1 (control treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test A3 Plant height (cm) Test A4 Plant height (cm) TREATMENT Ws-2 (experimental treatment) Ws-2 (control treatment) Santa Clara (experimental treatment) Santa Clara (control treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test A5 Aboveground fresh weight (g) Test A6 Aboveground fresh weight (g) TREATMENT Col-0 (experimental treatment) Col-0 (control treatment) Lov-1 (experimental treatment) Lov-1 (control treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2
) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test A7 Aboveground fresh weight (g) Test A8 Aboveground fresh weight (g) TREATMENT Ws-2 (experimental treatment) Ws-2 (control treatment) Santa Clara (experimental treatment) Santa Clara (control treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test B1 Plant height (cm) Test B2 Plant height (cm) TREATMENT Col-0 (experimental treatment) Lov-1 (experimental treatment) Col-0 (experimental treatment) Ws-2 (experimental treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test B3 Plant height (cm) Test B4 Aboveground fresh weight (g) TREATMENT Col-0 (experimental treatment) Santa Clara (experimental treatment) Col-0 (experimental treatment) Lov-1 (experimental treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0) Test B5 Aboveground fresh weight (g) Test B6 Shoot Aboveground fresh weight (g) TREATMENT Col-0 (experimental treatment) Ws-2 (experimental treatment) Col-0 (experimental treatment) Santa Clara (experimental treatment) Sample Size (n) Mean (x) Standard Deviation (s) Variance (s2) SEM (√ s2 / n ) Calculated t -Statistic Mean1 – Mean2 √ SEM12 + SEM 22 Degrees of Freedom df = (n1 + n2) – 2 Critical t -Statistic from t -Test Table for two-tail test (cut-off p-value 0.05) Calculated t-Statistic Cut-off p-value Actual p-value Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Calculated t-statistic: Cut-off p-value: Actual p-value: Is your actual p-value <, >, =0.05 Conclusion (reject or fail to reject H0)