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    Statistical Treatment "Perception"

    Uploaded by

    Ritz Nhiel Pocot Parducho
    The document outlines various statistical tests that will be used to analyze data about public perception of whale shark tourism in Lila, Bohol, Philippines. Simple percentage will determine socio-demographic profiles, weighted mean will measure perception levels, and standard deviation will measure dispersion in perceptions. Pearson's correlation will assess relationships between perception and demographics. Chi-square, ANOVA, and Scheffe's tests will evaluate relationships and differences between groups. Likert scales will interpret weighted means for perception levels.

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    Statistical Treatment "Perception"

    Uploaded by

    Ritz Nhiel Pocot Parducho
    20 views5 pages
    The document outlines various statistical tests that will be used to analyze data about public perception of whale shark tourism in Lila, Bohol, Philippines. Simple percentage will determine socio-demographic profiles, weighted mean will measure perception levels, and standard deviation will measure dispersion in perceptions. Pearson's correlation will assess relationships between perception and demographics. Chi-square, ANOVA, and Scheffe's tests will evaluate relationships and differences between groups. Likert scales will interpret weighted means for perception levels.

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    The document outlines various statistical tests that will be used to analyze data about public perception of whale shark tourism in Lila, Bohol, Philippines. Simple percentage will determine socio-demographic profiles, weighted mean will measure perception levels, and standard deviation will measure dispersion in perceptions. Pearson's correlation will assess relationships between perception and demographics. Chi-square, ANOVA, and Scheffe's tests will evaluate relationships and differences between groups. Likert scales will interpret weighted means for perception levels.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    20 views5 pages

    Statistical Treatment "Perception"

    Uploaded by

    Ritz Nhiel Pocot Parducho
    The document outlines various statistical tests that will be used to analyze data about public perception of whale shark tourism in Lila, Bohol, Philippines. Simple percentage will determine socio-demographic profiles, weighted mean will measure perception levels, and standard deviation will measure dispersion in perceptions. Pearson's correlation will assess relationships between perception and demographics. Chi-square, ANOVA, and Scheffe's tests will evaluate relationships and differences between groups. Likert scales will interpret weighted means for perception levels.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 5

    Statistical Treatment

    To determine the socio-demographic profile of the public of Lila, Bohol, the

    simple percentage will be computed using the following

    f
    %= x 100
    N

    Where,

    % = percent

    F = frequency

    N = total number of respondents

    To determine the perception of the public of Lila, Bohol, the weighted mean will

    be used:

    ∑fx
    W
    n

    Where,

    W = weighted mean

    F = frequency

    x = weight of each scale

    n = number of respondents
    To interpret the weighted mean, the following scale will be used:

    Table 1. Likert Scale

    Scale Interval Adjectival Interpretation


    Whale Shark Ecotourism is
    4 3.25 – 4.0 Strongly Agree
    Highly Beneficial
    Whale Shark Ecotourism is
    3 2.50 – 3.23 Agree
    Beneficial
    Whale Shark Ecotourism is
    2 1.75 – 2.49 Disagree
    Not Beneficial
    Whale Shark Ecotourism is
    1 1.0 – 1.74 Strongly Disagree
    Highly Not Beneficial

    To determine the dispersion in the relation of the perception of the public of Lila,

    Bohol, the Standard deviation will be used:

    √
    2
    Σ(x i−μ)
    σ=
    N

    Where,

    σ = population standard deviation

    N = the size of the population

    x 1= each value from the population

    μ = the population of the mean

    To determine the relationship between the level of perception and socio-

    demographic profile of the public in Lila, Bohol on whale shark tourism, the Pearson

    Product Moment Coefficient will be computed using the formula


    n ∑ xy−∑ x ∑ y
    r=
    √ [ n ∑ x −( ∑ x ) ] [n ∑ y −( ∑ y ) ]
    2 2 2 2

    Where,
    ∑ xy = sum of the products of the respondents’ socio-demographic

    profile and perceptions

    ∑ x = sum of the means of the respondents’ socio-demographic

    profile

    ∑ y = sum of the means of the respondents’ perceptions

    N = number of respondents

    To interpret the correlation value, the following classification may be applied.

    0.00 to ± 0.20 denotes negligible correlation

    ± 0.21 to ± 0.40 denotes low or slight relationship

    ± 0.41 to ± 0.70 denotes marked or moderate correlation

    ± 0.71 to ± 0.90 denotes high relationship

    ± 0.91 to ± 0.99 denotes very high relationship

    ± 1.00 denotes perfect relationship

    To test the significant hypotheses between the socio-demographic profile and

    perception on whale shark tourism in Lila, Bohol, the Chi-square test of independence

    will be computed using the formula.


    2 ( Oi−Ei )
    x =Σ
    Ei

    Where,

    2
    x = Chi-squared

    O i = Observed value

    Ei = Expected value

    To interpret the probability value, the following classification may be applied.

    Table 2. Chi-Square Probability Value Table

    P-Value Description Interpretation


    It indicates the null hypothesis
    P-value ≤ 0.05 Rejected
    is very unlikely.
    It indicates the null hypothesis Accepted or it “fails to
    P-value > 0.05
    is very likely. reject”.
    The P-value is near the cut-off. The hypothesis needs
    P-value > 0.05
    It is considered as marginal. more attention.

    To determine the significance degree of variance in the level of perception on

    whale shark tourism among the aspects concerning the perceptions of the respondents

    on whale shark tourism, the One- Way Analysis of Variants (ANOVA) will be used.

    MSSc
    , FC =
    MSSw

    Where,
    FC = Compute Value
    MSS = mean of the sum of squares
    c = column
    w = within

    To contrast the Analysis of Variance among the aspects concerning the

    perception on whale shark tourism in Lila, Bohol, the Scheffe’s test will be used:

    ( X i−X j)2
    F s=
    S 2w ¿ ¿

    Where,
    X i = is the mean of the ith sample

    X j = is the mean of the jth sample

    ni = is the number of measurements in the ith sample

    n j = is the number of measurements in the jth sample


    2
    Sw = is the within group variance given in lecture for the F test and is equal

    2 Σ(n i−1)s 2i
    to: S =
    w
    Σ(n1−1)

    The critical value F s for the Scheffe test is calculated from the critical value of the
    F test using:
    F s = (k-1)(Critical value for F-test)

    k = is the number of groups

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