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)