ex. 1 data management

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    Experiment 1

    Data Management

    Submitted by:

    Group 3 - 4B7

    Agarano, Jethro

    Almonte, Kathleen

    Bartolome, Arriane

    Cruces, Mico

    Hermoso, Abraham

    Ramos, Al Christopher

    Submitted to:

    Prof. Susana F. Baldia, Ph.D.

    Abigail Garcia M.Sc.

    7 December 2010

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    I. Materials:

    Bond paper, scratch papers

    Graphing paper

    Pencil and eraser

    Metric ruler

    Scientific Calculator

    Personal Computer/ Laptop

    II. Solutions for the Practice Exercises

    A. Practical exercise I.

    A t- test was performed on the following data to see if there is a significant

    difference in the growth of oat coleoptiles that was treated with IAA (indole

    acetic acid or auxin) in comparison with the untreated controls. On the

    worksheet, Variable I and Variable 2 was re-labeling into columns in the

    output block as Control and IAA respectively. Short statements were

    written below the output block on the worksheet indicating the difference in

    the means if it is significant or not.

    Figure 1 Coleoptiles Growth Comparison based on food intake with control and IAA

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    HO: IAA has no substantial effect on the growth and development of the

    coleoptiles

    HA: IAA has substantial effect on the growth and development of the coleoptiles

    Given the data for the comparison of coleoptiles length in control and IAA induced

    samples, a graph was formed where t-test unpaired was used and a p-value of

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    Excel was used to plot and print the XY graph of larval growth in Noctua

    pronubausing the given data. Instar has been the independent variable (it is

    related to time or age) and body length (mm) was the dependent variable.The X axis began at 1.

    Ho: Growth rate is linear and does not change as the caterpillar grows

    Ha: Growth rate is not linear and changes as the caterpillar grows.

    Figure 2 Larval growth of Noctua pronuba showing the comparison of body length through

    growth of the instars

    Mean body length (mm)

    Best-fit values

    Slope 5.242 0.8139

    Y-intercept when X=0.0 -6.941 3.640

    X-intercept when Y=0.0 1.324

    1/slope 0.1908

    95% Confidence Intervals

    Slope 3.150 to 7.335

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    Y-intercept when X=0.0 -16.30 to 2.417

    X-intercept when Y=0.0 -0.7233 to 2.357

    Goodness of Fit

    R square 0.8924Sy.x 4.307

    Is slope significantly non-zero?

    F 41.48

    DFn, DFd 1.000, 5.000

    P value 0.0013

    Deviation from zero? Significant

    Data

    Number of X values 7

    Maximum number of Y replicates 1

    Total number of values 7

    Number of missing values 0

    C. Practice exercise III. XY graph; given X values and equation.

    Excel was used to plot and print the graph of Growth in Pices hallucigenia

    that was based in the equation. 10 values of L (Length) were used. L values

    were chosen but space them more or less evenly between 50 and 200mm

    and 50 and 200 was included as the first and last values. Length (mm) was

    the independent variable and weight (g) as the independent variable. The X

    axis began at 50.

    Figure 3 Growth curve ofPices hallucigenia

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    Growth (in g)Best-fit values

    Slope 50.17 5.724

    Y-intercept when X=0.0 -3492 751.4X-intercept when Y=0.0 69.61

    1/slope 0.01993

    95% Confidence Intervals

    Slope 36.97 to 63.37

    Y-intercept when X=0.0 -5225 to -1760

    X-intercept when Y=0.0 45.97 to 85.37

    Goodness of Fit

    R square 0.9057

    Sy.x 849.3

    Is slope significantly non-zero?

    F 76.84

    DFn, DFd 1.000, 8.000P value < 0.0001

    Deviation from zero? Significant

    Data

    Number of X values 10

    Maximum number of Y replicates 1

    Total number of values 10

    Number of missing values 0

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    D. Practical exercise IV: XY graph: logarithmic plots.

    The length- weight was plot in the equation in problem 3 on a log-log plot. In

    the given problem same data was used and equations were entered inproblem 3. The only thing that was changed was switch from Normal to Log

    under the Scale on both the Y-axis and X-axis dialog boxes.

    Figure 4 Log growth curve ofPices hallucigenia

    Growth (in g)

    Best-fit values

    Slope 50.17 5.724

    Y-intercept when X=0.0 -3492 751.4

    X-intercept when Y=0.0 69.61

    1/slope 0.01993

    95% Confidence Intervals

    Slope 36.97 to 63.37

    Y-intercept when X=0.0 -5225 to -1760

    X-intercept when Y=0.0 45.97 to 85.37

    Goodness of Fit

    R square 0.9057

    Sy.x 849.3

    Is slope significantly non-zero?

    F 76.84

    DFn, DFd 1.000, 8.000

    P value < 0.0001

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    Deviation from zero? Significant

    Data

    Number of X values 10

    Maximum number of Y replicates 1Total number of values 10

    Number of missing values 0

    E. Practice exercise V: XY graph; given X and Y values.

    Taking the samples was the technique involved. identifying and counting was

    also used in each of the samples. The cumulative number of species in the

    sample was plotted against the number of samples. Results were shown in

    the curve that showed the number of species produced against the sampling

    effort that was collected. The curve was usually steep near the origin and the

    levels off at about the number of species were present in the community.

    There were additional sampling yields for only a small number of very rare

    species.

    Figure 5 Species/ Effort curve for cumulative number of species

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    Cumulative # of Species

    Total number of values 12

    Number of excluded values 0

    Number of binned values 12

    Minimum 6.0

    25% Percentile 15.25

    Median 24.5

    75% Percentile 28.0

    Maximum 29.0

    Mean 21.5833

    Std. Deviation 8.1515

    Std. Error 2.35314

    Lower 95% CI of mean 16.4042Upper 95% CI of mean 26.7625

    F. Practice exercise VI. Histogram

    For additional practice with histogram the following data for age distribution of

    male perch in Lake Windermere, England was plotted. The data represented

    the numbers of fish of different ages in the Lake in the year 1966.

    Figure 6 Histogram for Age distribution of Male Perch Population

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    Figure 7 Alternative Histogram for Ages of Male Perch population

    Age % of Male Perch Population

    Total number of values 11 11

    Number of excluded values 0 0

    Number of binned values 11 11

    Minimum 2.0 0.0

    25% Percentile 4.0 0.0

    Median 7.0 3.0

    75% Percentile 10.0 9.0

    Maximum 12.0 60.0

    Mean 7.0 9.09091Std. Deviation 3.31662 17.3347

    Std. Error 1.0 5.2266

    Lower 95% CI of mean 4.77188 -2.55458

    Upper 95% CI of mean 9.22812 20.7364

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    G. Practice exercise VII: Graphing exponential equations from X data and

    an equation.

    A laboratory experiment in population growth was prepared, the instructor thatwas found in the green alga, Selenastrum capricornutum, exhibited an

    instantaneous per capita growth rate of 1.5. At day t0 the population density

    was 5382 cells/ml. Excel was used to draw a graph of population growth of

    this species in the equation using the exponential growth.

    Time (days)

    One phase decay

    Best-fit values

    Y0 -0.01199

    Plateau 2.969

    K 1.202e-005

    Half Life 57677

    Tau 83210

    Span -2.981

    Std. Error

    Y0 0.3634

    Plateau 0.3635

    K 5.288e-006

    Span 0.4722

    95% Confidence Intervals

    Y0 -4.629 to 4.605

    Figure 8 Growth curve for Selenastrum capricornutum

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    Plateau -1.649 to 7.588

    K 0.0 to 7.921e-005

    Half Life 8751 to +infinity

    Tau 12625 to +infinitySpan -8.981 to 3.019

    Goodness of Fit

    Degrees of Freedom 1

    R square 0.9755

    Absolute Sum of Squares 0.1223

    Sy.x 0.3498

    Constraints

    K K > 0.0

    Number of points

    Analyzed 4