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χ2 (or chi-square) probability density function (pdf) distribution  (CH Instruments)

 
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    CH Instruments χ2 (or chi-square) probability density function (pdf) distribution
    χ2 (Or Chi Square) Probability Density Function (Pdf) Distribution, supplied by CH Instruments, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/chi-square+function/%CF%872++or+chi+square++probability+density+function++pdf++distribution/us10332248-520-1-3
    Average 90 stars, based on 1 article reviews
    χ2 (or chi-square) probability density function (pdf) distribution - by Bioz Stars, 2026-10
    90/100 stars

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    Related Articles

    other:

    Article Title: Contrast based imaging and analysis computer-implemented method to analyze pulse thermography data for nondestructive evaluation
    Article Snippet: A χ2 (or Chi-square) probability density function (PDF) distribution chosen for the fit is given by. f ( x ; k ) = x ( k / 2 ) - 1 e - x / 2 2 k / 2 Γ ( k 2 ) for x ≥ 0 and f ( x ; k ) = 0 otherwise . ( 41 ) Here, Γ(k/2) denotes Gamma function.

    Article Title: Contrast based imaging and analysis computer-implemented method to analyze pulse thermography data for nondestructive evaluation
    Article Snippet: A χ2 (or Chi-square) probability density function (PDF) distribution chosen for the fit is given by. f ( x ; k ) = x ( k / 2 ) - 1 e - v / 2 2 k / 2 Γ ( k 2 ) ( 41 ) for x ≥ 0 and f ( x ; k ) = 0 otherwise .



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    Spine classes are inhomogeneously distributed on the dendrites. (a) Spines were categorized into four classes by hierarchical clustering of shape and length: upper panels—individual diameter profiles (gray) and average profile of each class (green). The total lengths of the profiles were scaled to the average spine length of the respective class; lower panels—representative spine examples. Scale bars, 1 μ m . (b) Relative abundance of each spine class on the dendrites, the distribution differs among dendrites. Numbers 1 to 4 refer to the four neurons, letters to the dendrites (see <xref ref-type=Fig. 1 ). Color code as in panel (a). (c) Pie charts showing which fraction of a specific spine class is found on each dendrite. (d) Pairwise Pearson’s chi-square tests confirm significant differences among the repartition of the classes on the dendrites within three of the four neurons. p values color coded: p ≤ 0.05 red, p ≤ 0.01 yellow, p ≤ 0.001 green, and p > 0.05 blue. All tests have been corrected for multiple comparisons. (e) Pairwise Pearson’s chi-square tests for all dendrites of all cells. " width="250" height="auto" />
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    Spine classes are inhomogeneously distributed on the dendrites. (a) Spines were categorized into four classes by hierarchical clustering of shape and length: upper panels—individual diameter profiles (gray) and average profile of each class (green). The total lengths of the profiles were scaled to the average spine length of the respective class; lower panels—representative spine examples. Scale bars, 1 μ m . (b) Relative abundance of each spine class on the dendrites, the distribution differs among dendrites. Numbers 1 to 4 refer to the four neurons, letters to the dendrites (see <xref ref-type=Fig. 1 ). Color code as in panel (a). (c) Pie charts showing which fraction of a specific spine class is found on each dendrite. (d) Pairwise Pearson’s chi-square tests confirm significant differences among the repartition of the classes on the dendrites within three of the four neurons. p values color coded: p ≤ 0.05 red, p ≤ 0.01 yellow, p ≤ 0.001 green, and p > 0.05 blue. All tests have been corrected for multiple comparisons. (e) Pairwise Pearson’s chi-square tests for all dendrites of all cells. " width="100%" height="100%">

    Journal: Neurophotonics

    Article Title: Distribution of spine classes shows intra-neuronal dendritic heterogeneity in mouse cortex

    doi: 10.1117/1.NPh.12.1.015001

    Figure Lengend Snippet: Spine classes are inhomogeneously distributed on the dendrites. (a) Spines were categorized into four classes by hierarchical clustering of shape and length: upper panels—individual diameter profiles (gray) and average profile of each class (green). The total lengths of the profiles were scaled to the average spine length of the respective class; lower panels—representative spine examples. Scale bars, 1 μ m . (b) Relative abundance of each spine class on the dendrites, the distribution differs among dendrites. Numbers 1 to 4 refer to the four neurons, letters to the dendrites (see Fig. 1 ). Color code as in panel (a). (c) Pie charts showing which fraction of a specific spine class is found on each dendrite. (d) Pairwise Pearson’s chi-square tests confirm significant differences among the repartition of the classes on the dendrites within three of the four neurons. p values color coded: p ≤ 0.05 red, p ≤ 0.01 yellow, p ≤ 0.001 green, and p > 0.05 blue. All tests have been corrected for multiple comparisons. (e) Pairwise Pearson’s chi-square tests for all dendrites of all cells.

    Article Snippet: We used Pearson’s chi-square test (Matlab’s function crosstab) to test for significant differences in class distribution on dendrites ( ) with a 5% significance level and corrected for multiple comparisons with the Bonferroni correction.

    Techniques: