Table 1 . summary Distribution of all variables ,Groupwise
| Dependent: all | all | |
|---|---|---|
| age | Mean (SD) | 25.6 (4.1) |
| GA | 37 | 59 (11.8) |
| 38 | 185 (37.0) | |
| 39 | 233 (46.6) | |
| 40 | 23 (4.6) | |
| Birth.Weight | Mean (SD) | 2.9 (0.4) |
| SFH | Mean (SD) | 32.6 (2.4) |
| Station | -1 | 328 (65.6) |
| 0 | 58 (11.6) | |
| 1 | 114 (22.8) | |
| johnson | Mean (SD) | 3.1 (0.3) |
| Gravidity | Mean (SD) | 2.0 (1.0) |
| parity | Mean (SD) | 0.6 (0.7) |
| Sex_Of_neonate | BOY | 260 (52.0) |
| GIRL | 240 (48.0) | |
| error | Mean (SD) | -0.2 (0.2) |
| absolute_error | Mean (SD) | 0.3 (0.1) |
| percentage_error | Mean (SD) | 9.8 (6.2) |
| category | < 2 | 2 (0.4) |
| 2 - 2.5 | 74 (14.8) | |
| 2.5 - 3.5 | 223 (44.6) | |
| 3 - 3.5 | 174 (34.8) | |
| > 3.5 | 27 (5.4) | |
| estimation | Overestimation | 439 (87.8) |
| Underestimation | 61 (12.2) |
Distribution of Demographic Variables in Our Population
The plot above shows a flipped bar plot of Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 age categories are as follows : 200/500(40%) patients are in group 20 - 25 . 194/500(38.8%) patients are in group 25 - 30 . The Full details of distribution is in table below.
| age categories | n | percentage |
|---|---|---|
| < 20 | 18 | 3.6 |
| 20 - 25 | 200 | 40.0 |
| 25 - 30 | 194 | 38.8 |
| 30 - 35 | 76 | 15.2 |
| >35 | 12 | 2.4 |
he Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 233/500(46.6 %) patients are in sub-group 39 185/500(37 %) patients are in sub-group 38 The Full details of distribution is in table below.
| Group | n | total | percentage | Confidence_Interval |
|---|---|---|---|---|
| 39 | 233 | 500 | 46.6 | 42.26% - 50.98% |
| 38 | 185 | 500 | 37.0 | 32.85% - 41.3% |
| 37 | 59 | 500 | 11.8 | 9.19% - 14.85% |
| 40 | 23 | 500 | 4.6 | 3.02% - 6.7% |
The Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 240/500(48 %) patients are in sub-group 0 212/500(42.4 %) patients are in sub-group 1 The Full details of distribution is in table below.
| Group | n | total | percentage | Confidence_Interval |
|---|---|---|---|---|
| 0 | 240 | 500 | 48.0 | 43.64% - 52.38% |
| 1 | 212 | 500 | 42.4 | 38.12% - 46.77% |
| 2 | 39 | 500 | 7.8 | 5.69% - 10.4% |
| 3 | 5 | 500 | 1.0 | 0.38% - 2.18% |
| 4 | 4 | 500 | 0.8 | 0.27% - 1.89% |
The Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 199/500(39.8 %) patients are in sub-group 1 167/500(33.4 %) patients are in sub-group 2 The Full details of distribution is in table below.
| Group | n | total | percentage | Confidence_Interval |
|---|---|---|---|---|
| 1 | 199 | 500 | 39.8 | 35.58% - 44.14% |
| 2 | 167 | 500 | 33.4 | 29.37% - 37.62% |
| 3 | 94 | 500 | 18.8 | 15.56% - 22.4% |
| 4 | 29 | 500 | 5.8 | 4% - 8.11% |
| 5 | 9 | 500 | 1.8 | 0.89% - 3.26% |
| 6 | 2 | 500 | 0.4 | 0.08% - 1.28% |
The Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 223/500(44.6 %) patients are in sub-group 2.5 - 3.5 174/500(34.8 %) patients are in sub-group 3 - 3.5 The Full details of distribution is in table below.
| Group | n | total | percentage | Confidence_Interval |
|---|---|---|---|---|
| 2.5 - 3.5 | 223 | 500 | 44.6 | 40.28% - 48.98% |
| 3 - 3.5 | 174 | 500 | 34.8 | 30.72% - 39.05% |
| 2 - 2.5 | 74 | 500 | 14.8 | 11.89% - 18.11% |
| > 3.5 | 27 | 500 | 5.4 | 3.67% - 7.64% |
| < 2 | 2 | 500 | 0.4 | 0.08% - 1.28% |
The Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 224/500(44.8 %) patients are in sub-group [2.50,3.00) 180/500(36 %) patients are in sub-group [3.00,3.50) The Full details of distribution is in table below.
| Group | n | total | percentage | Confidence_Interval |
|---|---|---|---|---|
| [2.50,3.00) | 224 | 500 | 44.8 | 40.48% - 49.18% |
| [3.00,3.50) | 180 | 500 | 36.0 | 31.88% - 40.28% |
| [3.50,4.34] | 93 | 500 | 18.6 | 15.38% - 22.19% |
| [2.00,2.50) | 3 | 500 | 0.6 | 0.17% - 1.59% |
The Flipped Bar- plot above shows Counts(X axis) and percentages(annotated within bar) of various categories. The top 2 sub-groups are as follows : 444/500(88.8 %) patients are in sub-group [30.0,38.0) 41/500(8.2 %) patients are in sub-group [38.0,41.0] The Full details of distribution is in table below.
Figure 8 Boxplot Of Distribution Of Actual and Predicted in our Population
In this Figure we see Box plot of Weight_Kg in 2 sub-groups of Type : johnson and Actual Birth.Weight respectively .The individual jittered data points of Weight_Kg are overlaid over transparent Boxplot for better visualisation. We see distribution of data in individual sub-groups of Type based on these box-plots. The lower edge of box plot represents -first quartile (Q1), Horizontal bar represents the median, Upper edge represnts third quartile (Q3), Two black lines (whiskers) emanating from box-plots signify range of non-outlier data for the particular sub-group. Lower whisker represents minimum(Q1- 1.5 interquartile range) non-outlier limit of Weight_Kg and upper whisker represnts maximum(Q1+1.5interquartile range) of Weight_Kg .Any data beyond whiskers of box-plots represents outliers in the sub-groups The big brown point in the box-plots represents mean Weight_Kg of 2 groups and it has been annotated in the figure itself. Summary Statistics of the groups is presented in table below
Table Summary Table Of Birth Weight within Groups
| Group | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| Birth.Weight | 500 | 2.895 | 0.380 | 2.895 | 1.80 | 4.04 |
| johnson | 500 | 3.129 | 0.344 | 3.100 | 2.48 | 4.34 |
The mean Actual Birth Weight [ 2.9 ± 0.38 ] was significantly lower than predicted by johnson formula [ 3.13 ± 0.34 ] . The mean difference was -0.23 and 95 % confidence interval of the difference was ( -0.28 - -0.19 ) . The p value was <0.001 . The t statistic was -10.18 and degree of freedom of the Welch unpaired two-sample t test was 988.11 .In Formal statistical notation this result is expressed as : t(988.11) = -10.18, p= <0.001.
The scatter plots above show relationship between Birth.Weight on X axis and johnson on Y axis. Graphically, we see that as Birth.Weight increases, johnson also increases . On a formal statistical linear regression analysis, we that line of best fit (blue line signifying line with least square difference) also has a positive slope implying a positive correlation. The gray shaded error around blue line signifies 95% confidence interval of linear regression line of best fit. The correlation between two variables is Significant . The Pearson’s correlation between Birth.Weight and johnson is 0.54 with 95% Confidence Interval of 0.48 to 0.6. the t statistic is 14.37 The p value is <0.001 .The degree of freedom is 498. In formal statistical notation this expressed as t(498)= 14.37, P= <0.001. r(Pearson) = 0.54 95% C.I. [0.48-0.6]. n= 500. The correlation is summmarised in table below
| variable | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| Birth.Weight | 500 | 2.895 | 0.380 | 2.895 | 1.80 | 4.04 |
| johnson | 500 | 3.129 | 0.344 | 3.100 | 2.48 | 4.34 |
| Group 1 | Group 2 | Degree of Freedom | T statistic | Correlation | 95 % C.I. | P value |
|---|---|---|---|---|---|---|
| Birth.Weight | johnson | 498 | 38.15 | 0.86 | 0.84-0.88 | <0.001 |
| Group | var1 | var2 | cor | statistic | conf.low | conf.high | parameter | significance | pvalue | Confidence_Interval |
|---|---|---|---|---|---|---|---|---|---|---|
| 2 - 2.5 | Birth.Weight | johnson | 0.36 | 3.26 | 0.14 | 0.55 | 69 | Significant | <0.001 | 0.14-0.55 |
| 2.5 - 3.5 | Birth.Weight | johnson | 0.56 | 9.96 | 0.46 | 0.64 | 221 | Significant | <0.001 | 0.46-0.64 |
| 3 - 3.5 | Birth.Weight | johnson | 0.66 | 11.44 | 0.56 | 0.73 | 172 | Significant | <0.001 | 0.56-0.73 |
| > 3.5 | Birth.Weight | johnson | 0.36 | 1.95 | -0.02 | 0.65 | 25 | Non-Significant | 0.06 | -0.02-0.65 |
he scatter plots above show relationship between Birth.Weight on X axis and absolute_error on Y axis. Graphically, we see that as Birth.Weight increases, absolute_error initially decreases and then increases (more at extremes). On a formal statistical linear regression analysis, we that line of best fit (blue line signifying line with least square difference) also has a negative slope implying a negative correlation. The gray shaded error around blue line signifies 95% confidence interval of linear regression line of best fit. The correlation between two variables is Significant . The Pearson’s correlation between Birth.Weight and absolute_error is -0.4 with 95% Confidence Interval of -0.47 to -0.33. the t statistic is -9.84 The p value is <0.001 .The degree of freedom is 498. In formal statistical notation this expressed as t(498)= -9.84, P= <0.001. r(Pearson) = -0.4 95% C.I. [-0.47–0.33]. n= 500. The correlation is summmarised in table below
| variable | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| absolute_error | 500 | 0.269 | 0.139 | 0.255 | 0.0 | 0.82 |
| Birth.Weight | 500 | 2.895 | 0.380 | 2.895 | 1.8 | 4.04 |
In this Figure we see Box plot of absolute_error in 5 sub-groups of category : 3 - 3.5,> 3.5,2 - 2.5,2.5 - 3.5 and < 2 respectively .The individual jittered data points of absolute_error are overlaid over transparent Boxplot for better visualisation. We see distribution of data in individual sub-groups of category based on these box-plots. The lower edge of box plot represents -first quartile (Q1), Horizontal bar represents the median, Upper edge represnts third quartile (Q3), Two black lines (whiskers) emanating from box-plots signify range of non-outlier data for the particular sub-group. Lower whisker represents minimum(Q1- 1.5 interquartile range) non-outlier limit of absolute_error and upper whisker represnts maximum(Q1+1.5interquartile range) of absolute_error .Any data beyond whiskers of box-plots represents outliers in the sub-groups The big brown point in the box-plots represents mean absolute_error of 5 groups and it has been annotated in the figure itself Summary Statistics of the groups is presented in table below
| Group | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| < 2 | 2 | 0.642 | 0.053 | 0.642 | 0.605 | 0.680 |
| 2 - 2.5 | 74 | 0.436 | 0.142 | 0.423 | 0.155 | 0.790 |
| 2.5 - 3.5 | 223 | 0.236 | 0.108 | 0.240 | 0.000 | 0.515 |
| 3 - 3.5 | 174 | 0.235 | 0.106 | 0.235 | 0.000 | 0.555 |
| > 3.5 | 27 | 0.269 | 0.188 | 0.250 | 0.000 | 0.820 |
We find that One-way ANOVA was significant for Group effect of category on absolute_error. In statistical notation it is expressed as F(4,495)=<0.01. The Effect size(Omega -Squared) of this One-way ANOVA test was 0.288 .
We find that One-way ANOVA was significant for Group effect of category on absolute_error. In statistical notation it is expressed as F(4,495)=<0.01. The Effect size(Omega -Squared) of this One-way ANOVA test was 0.288 .
Since Overall One-Way ANOVA was signifcant indicating an overall difference in groups, we undertook 10 unpaired t-test to look for inter-group differences The mean absolute_error in Group 2 was non-significantly lower than Group 2.5 . The difference was -0.21 and 95 % confidence interval was ( -0.44 - 0.03 ) . The adjusted p value was 0.11 . The mean absolute_error in Group 2.5 was significantly lower than Group 3.5 . The difference was -0.41 and 95 % confidence interval was ( -0.64 - -0.18 ) . The adjusted p value was <0.001 . The mean absolute_error in Group 3 was significantly lower than Group 3.5 . The difference was -0.41 and 95 % confidence interval was ( -0.64 - -0.18 ) . The adjusted p value was <0.001 . The mean absolute_error in Group > 3.5 was significantly lower than Group < 2 . The difference was -0.37 and 95 % confidence interval was ( -0.61 - -0.14 ) . The adjusted p value was <0.001 . The mean absolute_error in Group 2.5 was significantly lower than Group 3.5 . The difference was -0.2 and 95 % confidence interval was ( -0.24 - -0.16 ) . The adjusted p value was <0.001 . The mean absolute_error in Group 3 was significantly lower than Group 3.5 . The difference was -0.2 and 95 % confidence interval was ( -0.25 - -0.16 ) . The adjusted p value was <0.001 . The mean absolute_error in Group > 3.5 was significantly lower than Group 2 . The difference was -0.17 and 95 % confidence interval was ( -0.24 - -0.09 ) . The adjusted p value was <0.001 . The mean absolute_error in Group 3 was non-significantly lower than Group 3.5 . The difference was 0 and 95 % confidence interval was ( -0.03 - 0.03 ) . The adjusted p value was 1 . The mean absolute_error in Group > 3.5 was non-significantly higher than Group 2.5 . The difference was 0.03 and 95 % confidence interval was ( -0.03 - 0.1 ) . The adjusted p value was 0.63 . The mean absolute_error in Group > 3.5 was non-significantly higher than Group 3 . The difference was 0.03 and 95 % confidence interval was ( -0.03 - 0.1 ) . The adjusted p value was 0.63 . Table describing these tests with Tukey’s Post-Hoc correction is described below
| Comparison | Difference | 95% Confidence Interval | P value | Significance |
|---|---|---|---|---|
| 2 - 2.5 | -0.21 | -0.44 - 0.03 | 0.11 | Non-significant |
| 2.5 - 3.5 | -0.41 | -0.64 - -0.18 | <0.001 | Significant |
| 3 - 3.5 | -0.41 | -0.64 - -0.18 | <0.001 | Significant |
| > 3.5 - < 2 | -0.37 | -0.61 - -0.14 | <0.001 | Significant |
| 2.5 - 3.5 | -0.20 | -0.24 - -0.16 | <0.001 | Significant |
| 3 - 3.5 | -0.20 | -0.25 - -0.16 | <0.001 | Significant |
| > 3.5 - 2 | -0.17 | -0.24 - -0.09 | <0.001 | Significant |
| 3 - 3.5 | 0.00 | -0.03 - 0.03 | 1 | Non-significant |
| > 3.5 - 2.5 | 0.03 | -0.03 - 0.1 | 0.63 | Non-significant |
| > 3.5 - 3 | 0.03 | -0.03 - 0.1 | 0.63 | Non-significant |
The scatter plots above show relationship between Birth.Weight on X axis and percentage_error on Y axis. Graphically, we see that as Birth.Weight increases, percentage_error initially decreases and then increases (i.e. more at extremes) On a formal statistical linear regression analysis, we that line of best fit (blue line signifying line with least square difference) also has a negative slope implying a negative correlation. The gray shaded error around blue line signifies 95% confidence interval of linear regression line of best fit. The correlation between two variables is Significant . The Pearson’s correlation between Birth.Weight and percentage_error is -0.39 with 95% Confidence Interval of -0.46 to -0.31. the t statistic is -9.36 The p value is <0.001 .The degree of freedom is 498. In formal statistical notation this expressed as t(498)= -9.36, P= <0.001. r(Pearson) = -0.39 95% C.I. [-0.46–0.31]. n= 500. The correlation is summmarised in table below
| variable | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| Birth.Weight | 500 | 2.895 | 0.380 | 2.895 | 1.8 | 4.04 |
| percentage_error | 500 | 9.764 | 6.209 | 8.685 | 0.0 | 39.50 |
In this Figure we see Box plot of percentage_error in 5 sub-groups of category : 3 - 3.5,> 3.5,2 - 2.5,2.5 - 3.5 and < 2 respectively .The individual jittered data points of percentage_error are overlaid over transparent Boxplot for better visualisation. We see distribution of data in individual sub-groups of category based on these box-plots. The lower edge of box plot represents -first quartile (Q1), Horizontal bar represents the median, Upper edge represnts third quartile (Q3), Two black lines (whiskers) emanating from box-plots signify range of non-outlier data for the particular sub-group. Lower whisker represents minimum(Q1- 1.5 interquartile range) non-outlier limit of percentage_error and upper whisker represnts maximum(Q1+1.5interquartile range) of percentage_error .Any data beyond whiskers of box-plots represents outliers in the sub-groups The big brown point in the box-plots represents mean percentage_error of 5 groups and it has been annotated in the figure itself Summary Statistics of the groups is presented in table below
| Group | n | Mean | SD | Median | Minimum | Maximum |
|---|---|---|---|---|---|---|
| < 2 | 2 | 35.025 | 3.896 | 35.025 | 32.27 | 37.78 |
| 2 - 2.5 | 74 | 19.075 | 7.174 | 18.160 | 6.25 | 39.50 |
| 2.5 - 3.5 | 223 | 8.609 | 4.069 | 8.770 | 0.00 | 19.92 |
| 3 - 3.5 | 174 | 7.354 | 3.338 | 7.225 | 0.00 | 18.44 |
| > 3.5 | 27 | 7.451 | 5.257 | 6.900 | 0.00 | 22.71 |
We find that One-way ANOVA was significant for Group effect of category on percentage_error. In statistical notation it is expressed as F(4,495)=<0.01. The Effect size(Omega -Squared) of this One-way ANOVA test was 0.475 .
We find that One-way ANOVA was significant for Group effect of category on percentage_error. In statistical notation it is expressed as F(4,495)=<0.01. The Effect size(Omega -Squared) of this One-way ANOVA test was 0.475 .
Since Overall One-Way ANOVA was signifcant indicating an overall difference in groups, we undertook 10 unpaired t-test to look for inter-group differences The mean percentage_error in Group 2 was significantly lower than Group 2.5 . The difference was -15.95 and 95 % confidence interval was ( -24.81 - -7.09 ) . The adjusted p value was <0.001 . The mean percentage_error in Group 2.5 was significantly lower than Group 3.5 . The difference was -26.42 and 95 % confidence interval was ( -35.2 - -17.63 ) . The adjusted p value was <0.001 . The mean percentage_error in Group 3 was significantly lower than Group 3.5 . The difference was -27.67 and 95 % confidence interval was ( -36.46 - -18.88 ) . The adjusted p value was <0.001 . The mean percentage_error in Group > 3.5 was significantly lower than Group < 2 . The difference was -27.57 and 95 % confidence interval was ( -36.63 - -18.51 ) . The adjusted p value was <0.001 . The mean percentage_error in Group 2.5 was significantly lower than Group 3.5 . The difference was -10.47 and 95 % confidence interval was ( -12.12 - -8.81 ) . The adjusted p value was <0.001 . The mean percentage_error in Group 3 was significantly lower than Group 3.5 . The difference was -11.72 and 95 % confidence interval was ( -13.44 - -10.01 ) . The adjusted p value was <0.001 . The mean percentage_error in Group > 3.5 was significantly lower than Group 2 . The difference was -11.62 and 95 % confidence interval was ( -14.4 - -8.84 ) . The adjusted p value was <0.001 . The mean percentage_error in Group 3 was non-significantly lower than Group 3.5 . The difference was -1.26 and 95 % confidence interval was ( -2.51 - 0 ) . The adjusted p value was 0.05 . The mean percentage_error in Group > 3.5 was non-significantly lower than Group 2.5 . The difference was -1.16 and 95 % confidence interval was ( -3.68 - 1.36 ) . The adjusted p value was 0.72 . The mean percentage_error in Group > 3.5 was non-significantly higher than Group 3 . The difference was 0.1 and 95 % confidence interval was ( -2.46 - 2.65 ) . The adjusted p value was 1 . Table describing these tests with Tukey’s Post-Hoc correction is described below
| Comparison | Difference | 95% Confidence Interval | P value | Significance |
|---|---|---|---|---|
| 2 - 2.5 | -15.95 | -24.81 - -7.09 | <0.001 | Significant |
| 2.5 - 3.5 | -26.42 | -35.2 - -17.63 | <0.001 | Significant |
| 3 - 3.5 | -27.67 | -36.46 - -18.88 | <0.001 | Significant |
| > 3.5 - < 2 | -27.57 | -36.63 - -18.51 | <0.001 | Significant |
| 2.5 - 3.5 | -10.47 | -12.12 - -8.81 | <0.001 | Significant |
| 3 - 3.5 | -11.72 | -13.44 - -10.01 | <0.001 | Significant |
| > 3.5 - 2 | -11.62 | -14.4 - -8.84 | <0.001 | Significant |
| 3 - 3.5 | -1.26 | -2.51 - 0 | 0.05 | Non-significant |
| > 3.5 - 2.5 | -1.16 | -3.68 - 1.36 | 0.72 | Non-significant |
| > 3.5 - 3 | 0.10 | -2.46 - 2.65 | 1 | Non-significant |
| percentage_error categories | n | percentage |
|---|---|---|
| < 5 | 97 | 19.4 |
| 10 - 15 | 120 | 24.0 |
| 15 - 20 | 42 | 8.4 |
| 20 - 25 | 19 | 3.8 |
| 25 - 30 | 5 | 1.0 |
| 30 - 40 | 10 | 2.0 |
| > 5 | 207 | 41.4 |
| absolute_error categories | n | percentage |
|---|---|---|
| < 0.15 | 87 | 17.4 |
| 0.15 - 0.25 | 148 | 29.6 |
| 0.25 - 0.35 | 146 | 29.2 |
| 0.35 - 0.50 | 89 | 17.8 |
| >0.50 | 30 | 6.0 |
Multiple linear regression was conducted to find best combination of Age,Gestational_age,parity & SFH for predicting Birth_weight . Dummy indicator(0/1) were used for categorical variables. The Forest plot above shows standardized regression coefficients of Age,Gestational_age,parity & SFH with their confidence intervals as horizontal error bars on X axis. An error bar which crosses vertical line of zero in this plot is non-significant. We centered the variables at their means for better interpretation.
We fitted a linear model (estimated using OLS) to predict Birth.Weight with age, GA, parity, Interval and SFH.in.Cms (formula = Birth.Weight ~ age + GA + parity + Interval + SFH.in.Cms). Standardized parameters were obtained by fitting the model on a standardized version of the dataset. Effect sizes were labelled following Funder’s (2019) recommendations.
We fitted a linear model (estimated using OLS) to predict Birth.Weight with age, GA, parity and SFH (formula = Birth.Weight ~ age + GA + parity + SFH). Standardized parameters were obtained by fitting the model on a standardized version of the dataset. Effect sizes were labelled following Funder’s (2019) recommendations.
The model explains a significant and substantial proportion of variance (R2 = 0.71, F(4, 495) = 308.30, p < .001, adj. R2 = 0.71). The model’s intercept, corresponding to Birth.Weight = 0, age = 0, GA = 0, parity = 0 and SFH = 0, is at -2.30 (SE = 0.47, 95% CI [-3.23, -1.38[, std. intercept = 0.00, p < .001). Within this model:
Bland-Altman analysis was performed to compare Johnson’s Method with Actual Birth Weight. There were 500 observations in our study. The mean measurementby method 1 was 3.13 .The mean measurementby method 2 was 2.9. There was a mean bias of 0.23 (95% C.I. 0.22 - 0.25 ) and 95% confidence limits of Agreement from a lower limit of -0.14 to upper limit of 0.61 implying 95% of differences between two methods were found in this range. The mean proportional bias was 8.21 % with 95% Confidence Limit of 7.42 % to 8.66 %. The difference between methods as a function of mean of two methods can be described by the equation y(differences) = -0.11 x(means) + 0.56 implying difference between two measures changes by -0.11 unit with 1 unit increase in average of two methods
The Graph above shows average Birth weight (average of Birth weight by Johnson’s Formula and Actual Birth weight on X Axis) and Difference between Johnson’s Formula and Actual Birth weight on Y axis. The Limit of Agreement (between+0.35 to -0.35) is represented as Gray zone. A dashed line represents average Bias (+0.23 kg) implying Johnson’s Formula overestimated Actual Birth Weight on average. The Blue shaded line (regression line) has a negative slope is implying , with increasing Birth weight,Bias decreases.
The two outward-most dashed lines represent upper and lower Confidence limits of Bias.
Interpretation
Bland-Altman analysis was performed to compare Johnson’s Method with Actual Birth Weight. There were 500 observations in our study. The mean measurementby method 1 was 3.13 .The mean measurementby method 2 was 2.9. There was a mean bias of 0.23 (95% C.I. 0.22 - 0.25 ) and 95% confidence limits of Agreement from a lower limit of -0.14 to upper limit of 0.61 implying 95% of differences between two methods were found in this range. The mean proportional bias was 8.21 % with 95% Confidence Limit of 7.42 % to 8.66 %. The difference between methods as a function of mean of two methods can be described by the equation y(differences) = -0.11 x(means) + 0.56 implying difference between two measures changes by -0.11 unit with 1 unit increase in average of two methods
We found a Significant association between estimation and category. The chi-square statistic was 17.1 . The degree of freedom was 4 and P value was <0.001 .Contingency and Proportion table are shown below
| category | estimation | n | value | 95 % Confidence Interval |
|---|---|---|---|---|
| < 2 | Overestimation | 2 | 2/2 ( 100 %) | 33.32% - 99.98% |
| 2 - 2.5 | Overestimation | 74 | 74/74 ( 100 %) | 96.67% - 100% |
| 2.5 - 3.5 | Overestimation | 196 | 196/223 ( 87.89 %) | 83.13% - 91.68% |
| 2.5 - 3.5 | Underestimation | 27 | 27/223 ( 12.11 %) | 8.32% - 16.87% |
| 3 - 3.5 | Overestimation | 147 | 147/174 ( 84.48 %) | 78.55% - 89.28% |
| 3 - 3.5 | Underestimation | 27 | 27/174 ( 15.52 %) | 10.72% - 21.45% |
| > 3.5 | Overestimation | 20 | 20/27 ( 74.07 %) | 55.71% - 87.58% |
| > 3.5 | Underestimation | 7 | 7/27 ( 25.93 %) | 12.42% - 44.29% |