| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 6.54 | 0.94 | 4.32 | 6.01 | 6.66 | 7.25 | 8.03 |
| Before terapy | 18.89 | 5.56 | 11.19 | 14.07 | 18.07 | 22.61 | 29.57 |
| Without terapy | 8.02 | 3.01 | 2.85 | 6.06 | 7.72 | 10.71 | 12.15 |
| Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|
| 25.85 | 0.64 | 24.29 | 25.41 | 26 | 26.3 | 26.89 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 22.08 | 0.95 | 20.80 | 21.14 | 22.17 | 22.73 | 23.50 |
| Before terapy | 19.27 | 1.78 | 15.88 | 17.95 | 19.40 | 20.35 | 22.15 |
| Without terapy | 21.18 | 1.40 | 19.06 | 19.98 | 21.14 | 22.32 | 23.94 |
| Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|
| 91.07 | 2.25 | 89.66 | 89.75 | 90.07 | 90.42 | 96.91 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 5.40 | 0.70 | 4.23 | 4.90 | 5.53 | 5.94 | 6.39 |
| Before terapy | 7.46 | 0.65 | 6.50 | 7.07 | 7.39 | 7.77 | 9.23 |
| Without terapy | 5.34 | 0.68 | 4.23 | 4.86 | 5.20 | 5.89 | 6.39 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 2.68 | 0.65 | 1.93 | 2.14 | 2.53 | 3.08 | 4.00 |
| Before terapy | 4.04 | 0.68 | 2.88 | 3.61 | 3.96 | 4.35 | 6.14 |
| Without terapy | 2.74 | 0.52 | 1.71 | 2.43 | 2.65 | 3.08 | 3.64 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 0.91 | 0.45 | 0.36 | 0.51 | 0.75 | 1.35 | 1.52 |
| Before terapy | 0.79 | 0.30 | 0.27 | 0.57 | 0.76 | 1.02 | 1.34 |
| Without terapy | 0.47 | 0.21 | 0.21 | 0.32 | 0.37 | 0.54 | 0.92 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 2.06 | 0.64 | 1.01 | 1.61 | 2.05 | 2.71 | 2.99 |
| Before terapy | 2.63 | 0.56 | 1.92 | 2.22 | 2.40 | 2.94 | 3.90 |
| Without terapy | 2.13 | 0.45 | 1.40 | 1.73 | 2.09 | 2.40 | 2.99 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 2.00 | 0.99 | 0.79 | 1.12 | 1.64 | 2.97 | 3.35 |
| Before terapy | 1.73 | 0.66 | 0.59 | 1.26 | 1.67 | 2.24 | 2.95 |
| Without terapy | 1.03 | 0.46 | 0.47 | 0.71 | 0.82 | 1.18 | 2.02 |
Для мегрупповой статистики применим два подхода. Расcчтёт статистики для групп Контроль и Терапия без учета парных сравнений представлены в Таблице 0.2. Статистика с учетом парных сравнений приведена в Таблице 0.3.
| Параметр | Измерений Контроль | Измерений Терапия | t-критерий | df | p |
|---|---|---|---|---|---|
| Cholesterol | 22 | 22 | -10.179948 | 41.78961 | 0.000000 |
| Cholesterol | 22 | 19 | 0.301478 | 38.39141 | 0.765000 |
| Cholesterol | 22 | 19 | 10.223820 | 37.54786 | 0.000000 |
| ExoM | 22 | 22 | -10.277197 | 22.20435 | 0.000000 |
| ExoM | 22 | 19 | -2.063509 | 21.04790 | 0.052000 |
| ExoM | 22 | 19 | 7.926938 | 33.19842 | 0.000000 |
| ExoS | 22 | 22 | 6.534524 | 31.97392 | 0.000000 |
| ExoS | 22 | 19 | 2.357942 | 30.92833 | 0.025000 |
| ExoS | 22 | 19 | -3.858287 | 38.67513 | 0.000421 |
| HDL | 22 | 22 | -3.130346 | 41.33776 | 0.003000 |
| HDL | 22 | 19 | -0.362405 | 37.52154 | 0.719000 |
| HDL | 22 | 19 | 3.206031 | 38.77065 | 0.003000 |
| LDL | 22 | 22 | -6.762016 | 41.92802 | 0.000000 |
| LDL | 22 | 19 | -0.314161 | 38.73629 | 0.755000 |
| LDL | 22 | 19 | 6.949898 | 38.42110 | 0.000000 |
| SIC_LDL | 22 | 22 | -6.162588 | 35.05665 | 0.000000 |
| SIC_LDL | 22 | 19 | -0.050075 | 37.31018 | 0.960000 |
| SIC_LDL | 22 | 19 | 5.872872 | 36.64602 | 0.000001 |
| Triglycerides | 22 | 22 | 1.047938 | 36.49663 | 0.302000 |
| Triglycerides | 22 | 19 | 4.077208 | 30.63077 | 0.000300 |
| Triglycerides | 22 | 19 | 3.970823 | 37.54462 | 0.000312 |
| VLDL | 22 | 22 | 1.047938 | 36.49663 | 0.302000 |
| VLDL | 22 | 19 | 4.077208 | 30.63077 | 0.000300 |
| VLDL | 22 | 19 | 3.970823 | 37.54462 | 0.000312 |
Figure 0.1: Данные измерений плазмы (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
| Параметр | Измерений Контроль | Измерений Терапия | t-критерий | df | p |
|---|---|---|---|---|---|
| Cholesterol | 22 | 22 | -24.822792 | 21 | 0.000000 |
| ExoM | 22 | 22 | -11.452584 | 21 | 0.000000 |
| ExoS | 22 | 22 | 5.878597 | 21 | 0.000008 |
| HDL | 22 | 22 | -3.375728 | 21 | 0.003000 |
| LDL | 22 | 22 | -7.510065 | 21 | 0.000000 |
| SIC_LDL | 22 | 22 | -7.456499 | 21 | 0.000000 |
| Triglycerides | 22 | 22 | 0.963233 | 21 | 0.346000 |
| VLDL | 22 | 22 | 0.963233 | 21 | 0.346000 |
Figure 0.2: Данные измерений плазмы, парные сравнения (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
Отдельно приведена динамика VLDL до терапиии и после см. Рисунок 0.3. Также как и на Рисунке 0.2 (VLDL) можно отметить двунаправленность ответа на терапию, у части пациентов (10 из 12) наблюдалли падение содержания липидов очень низкой плотности, у остальных наблюдался выраженный подъем. До терапии две группы не демонстрируют статистически значимых отличий, тогда как после терапии наблюдается достоверное отличие между этими группами см. Рисунок 0.4.
Figure 0.3: Уровень VLDL до и после терапии, парные сравнения (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
Figure 0.4: Уровень VLDL до и после терапии, внутригрупповое сравнеине (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
Данные корреляции, без разбивки на группы до получения терапии и после, представлены в Таблице ??. Данные с разбивкой на группы Контроль и Терапия представлены в Таблице ?? и ??, соответственно.
Также корреляционные матрицы представленны на Рисунке 0.5 и Рисунке ?? (для данных без разбивки на группы), Рисунке ?? (для группы Контроль), Рисунке ?? (для группы Терапия).
Figure 0.5: Коэффициенты корреляции экзомеры, обобщённые данные
С целью оценки и исключения влияния зависимых переменных провели рассчёт частной корреляции Таблице ??, Таблице ?? и Таблице ??.
## $estimate
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 1.000000000 -0.56352481 0.5662116 -0.003774119 -0.19062625 -0.05276637
## [2,] -0.563524805 1.00000000 0.2553294 -0.269809918 0.02737366 -0.18600288
## [3,] 0.566211564 0.25532939 1.0000000 0.426874315 0.46470177 0.62686078
## [4,] -0.003774119 -0.26980992 0.4268743 1.000000000 -0.03845978 -0.56618065
## [5,] -0.190626247 0.02737366 0.4647018 -0.038459777 1.00000000 -0.46989886
## [6,] -0.052766372 -0.18600288 0.6268608 -0.566180648 -0.46989886 1.00000000
## [7,] -0.190626247 0.02737366 0.4647018 -0.038459777 -1.00000000 -0.46989886
## [8,] 0.141696915 0.24532496 -0.0638954 0.765793422 -0.09025952 0.21523531
## [,7] [,8]
## [1,] -0.19062625 0.14169691
## [2,] 0.02737366 0.24532496
## [3,] 0.46470177 -0.06389540
## [4,] -0.03845978 0.76579342
## [5,] -1.00000000 -0.09025952
## [6,] -0.46989886 0.21523531
## [7,] 1.00000000 -0.09025952
## [8,] -0.09025952 1.00000000
##
## $p.value
## [,1] [,2] [,3] [,4] [,5]
## [1,] 0.000000e+00 5.018113e-06 4.420085e-06 9.777716e-01 0.1554988512
## [2,] 5.018113e-06 0.000000e+00 5.525158e-02 4.238674e-02 0.8398183475
## [3,] 4.420085e-06 5.525158e-02 0.000000e+00 9.281973e-04 0.0002708753
## [4,] 9.777716e-01 4.238674e-02 9.281973e-04 0.000000e+00 0.7763819377
## [5,] 1.554989e-01 8.398183e-01 2.708753e-04 7.763819e-01 0.0000000000
## [6,] 6.966672e-01 1.659601e-01 1.820173e-07 4.426572e-06 0.0002261158
## [7,] 1.554989e-01 8.398183e-01 2.708753e-04 7.763819e-01 0.0000000000
## [8,] 2.930732e-01 6.586402e-02 6.367874e-01 3.937977e-12 0.5043173236
## [,6] [,7] [,8]
## [1,] 6.966672e-01 0.1554988512 2.930732e-01
## [2,] 1.659601e-01 0.8398183475 6.586402e-02
## [3,] 1.820173e-07 0.0002708753 6.367874e-01
## [4,] 4.426572e-06 0.7763819377 3.937977e-12
## [5,] 2.261158e-04 NaN 5.043173e-01
## [6,] 0.000000e+00 0.0002261158 1.078575e-01
## [7,] 2.261158e-04 0.0000000000 5.043173e-01
## [8,] 1.078575e-01 0.5043173236 0.000000e+00
##
## $statistic
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.00000000 -5.0589712 5.0944333 -0.02798981 -1.440130e+00 -0.3918718
## [2,] -5.05897124 0.0000000 1.9584892 -2.07803057 2.030846e-01 -1.4039340
## [3,] 5.09443331 1.9584892 0.0000000 3.50076995 3.892093e+00 5.9668043
## [4,] -0.02798981 -2.0780306 3.5007700 0.00000000 -2.854365e-01 -5.0940239
## [5,] -1.44013020 0.2030846 3.8920926 -0.28543652 0.000000e+00 -3.9478681
## [6,] -0.39187181 -1.4039340 5.9668043 -5.09402391 -3.947868e+00 0.0000000
## [7,] -1.44013020 0.2030846 3.8920926 -0.28543652 -1.330140e+08 -3.9478681
## [8,] 1.06156353 1.8767298 -0.4748312 8.83127654 -6.721259e-01 1.6345377
## [,7] [,8]
## [1,] -1.4401302 1.0615635
## [2,] 0.2030846 1.8767298
## [3,] 3.8920926 -0.4748312
## [4,] -0.2854365 8.8312765
## [5,] NaN -0.6721259
## [6,] -3.9478681 1.6345377
## [7,] 0.0000000 -0.6721259
## [8,] -0.6721259 0.0000000
##
## $n
## [1] 63
##
## $gp
## [1] 6
##
## $method
## [1] "pearson"
Данные линейной регрессии приведены в Таблице ?? и на Рисунке 0.6
##
## Call:
## lm(formula = Cholesterol ~ ExoM, data = lipoExo)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.08687 -0.35758 -0.07527 0.39441 0.98227
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 4.262993 0.126312 33.75 <2e-16 ***
## ExoM 0.162675 0.009627 16.90 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5097 on 61 degrees of freedom
## Multiple R-squared: 0.824, Adjusted R-squared: 0.8211
## F-statistic: 285.5 on 1 and 61 DF, p-value: < 2.2e-16
##
## Call:
## lm(formula = Cholesterol ~ ExoM, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.51701 -0.14994 0.01485 0.15689 0.62963
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 5.45000 0.20713 26.31 < 2e-16 ***
## ExoM 0.10655 0.01054 10.11 2.62e-09 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2685 on 20 degrees of freedom
## Multiple R-squared: 0.8364, Adjusted R-squared: 0.8283
## F-statistic: 102.3 on 1 and 20 DF, p-value: 2.617e-09
##
## Call:
## lm(formula = Cholesterol ~ ExoM, data = .)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.14702 -0.44961 -0.05411 0.56848 0.83235
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.7688 0.9135 3.031 0.00660 **
## ExoM 0.4026 0.1384 2.909 0.00868 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5975 on 20 degrees of freedom
## Multiple R-squared: 0.2973, Adjusted R-squared: 0.2621
## F-statistic: 8.461 on 1 and 20 DF, p-value: 0.008683
Данные регрессии y = sqrt(x) приведены в Таблице ?? и на Рисунке 0.6
##
## Call:
## lm(formula = Cholesterol ~ sqrt(ExoM), data = lipoExo)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.05872 -0.30981 -0.04648 0.38594 0.98544
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.27382 0.21962 10.35 4.65e-15 ***
## sqrt(ExoM) 1.18451 0.06534 18.13 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4807 on 61 degrees of freedom
## Multiple R-squared: 0.8435, Adjusted R-squared: 0.8409
## F-statistic: 328.7 on 1 and 61 DF, p-value: < 2.2e-16
##
## Call:
## lm(formula = Cholesterol ~ ExoMsquare, data = lipoExoExoMsquare)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.05872 -0.30981 -0.04648 0.38594 0.98544
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.27382 0.21962 10.35 4.65e-15 ***
## ExoMsquare 1.18451 0.06534 18.13 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4807 on 61 degrees of freedom
## Multiple R-squared: 0.8435, Adjusted R-squared: 0.8409
## F-statistic: 328.7 on 1 and 61 DF, p-value: < 2.2e-16
Figure 0.6: Линейная регрессия y ~ x (отн. конценртация экзомеров ~ холестерин)
Figure 0.7: Регрессия y ~ x^2 (вклад в рассеяние экзомеров ~ холестерин)
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| After terapy | 2.00 | 0.99 | 0.79 | 1.12 | 1.64 | 2.97 | 3.35 |
| Before terapy | 1.73 | 0.66 | 0.59 | 1.26 | 1.67 | 2.24 | 2.95 |
| Without terapy | 1.03 | 0.46 | 0.47 | 0.71 | 0.82 | 1.18 | 2.02 |
| Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|
| 25.81 | 0.61 | 24.29 | 25.44 | 25.82 | 26.26 | 26.89 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 21.18 | 1.40 | 19.06 | 19.98 | 21.14 | 22.32 | 23.94 |
| 2 Before | 19.49 | 1.97 | 15.88 | 17.95 | 19.56 | 20.55 | 23.36 |
| 3 After | 22.08 | 0.95 | 20.80 | 21.14 | 22.17 | 22.73 | 23.50 |
| Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|
| 91.84 | 2.18 | 89.66 | 89.78 | 90.43 | 93.76 | 96.91 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 5.34 | 0.68 | 4.23 | 4.86 | 5.20 | 5.89 | 6.39 |
| 2 Before | 7.45 | 0.57 | 6.50 | 7.07 | 7.46 | 7.77 | 8.53 |
| 3 After | 5.40 | 0.70 | 4.23 | 4.90 | 5.53 | 5.94 | 6.39 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 2.74 | 0.52 | 1.71 | 2.43 | 2.65 | 3.08 | 3.64 |
| 2 Before | 4.03 | 0.60 | 2.88 | 3.61 | 3.96 | 4.40 | 5.44 |
| 3 After | 2.68 | 0.65 | 1.93 | 2.14 | 2.53 | 3.08 | 4.00 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 0.47 | 0.21 | 0.21 | 0.32 | 0.37 | 0.54 | 0.92 |
| 2 Before | 0.86 | 0.50 | 0.27 | 0.57 | 0.76 | 1.02 | 2.65 |
| 3 After | 0.91 | 0.45 | 0.36 | 0.51 | 0.75 | 1.35 | 1.52 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 2.13 | 0.45 | 1.40 | 1.73 | 2.09 | 2.40 | 2.99 |
| 2 Before | 2.59 | 0.63 | 1.27 | 2.22 | 2.40 | 2.94 | 3.90 |
| 3 After | 2.06 | 0.64 | 1.01 | 1.61 | 2.05 | 2.71 | 2.99 |
| Group | Среднее | СКО | Мин. | Q1 | Медиана | Q3 | Макс. |
|---|---|---|---|---|---|---|---|
| 1 NoTherapy | 1.03 | 0.46 | 0.47 | 0.71 | 0.82 | 1.18 | 2.02 |
| 2 Before | 1.73 | 0.66 | 0.59 | 1.26 | 1.67 | 2.24 | 2.95 |
| 3 After | 2.00 | 0.99 | 0.79 | 1.12 | 1.64 | 2.97 | 3.35 |
Figure 1.1: Данные измерений плазмы, парные сравнения (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
Расчтёт межгрупповой статистики для групп Контроль, до терапии и после терапии без учета парных сравнений представлены в Таблице 1.2.
| Параметр | Группа 1 | Группа 2 | t-критерий | df | p | p.adj.signif |
|---|---|---|---|---|---|---|
| Cholesterol | 1 NoTherapy | 2 Before | -10.701593 | 35.37322 | 0.000000 | **** |
| Cholesterol | 1 NoTherapy | 3 After | -0.301478 | 38.39141 | 0.765000 | ns |
| Cholesterol | 2 Before | 3 After | 10.685700 | 40.44577 | 0.000000 | **** |
| ExoM | 1 NoTherapy | 2 Before | -8.249012 | 26.66221 | 0.000000 | **** |
| ExoM | 1 NoTherapy | 3 After | 1.744699 | 24.27134 | 0.094000 | ns |
| ExoM | 2 Before | 3 After | 9.397363 | 22.03425 | 0.000000 | **** |
| ExoS | 1 NoTherapy | 2 Before | 3.197519 | 37.68087 | 0.003000 | ** |
| ExoS | 1 NoTherapy | 3 After | -2.357942 | 30.92833 | 0.025000 | * |
| ExoS | 2 Before | 3 After | -5.543268 | 30.20980 | 0.000005 | **** |
| HDL | 1 NoTherapy | 2 Before | -2.762749 | 37.77235 | 0.009000 | * |
| HDL | 1 NoTherapy | 3 After | 0.362405 | 37.52154 | 0.719000 | ns |
| HDL | 2 Before | 3 After | 2.764401 | 41.98396 | 0.008000 | * |
| LDL | 1 NoTherapy | 2 Before | -7.431522 | 38.99833 | 0.000000 | **** |
| LDL | 1 NoTherapy | 3 After | 0.314161 | 38.73629 | 0.755000 | ns |
| LDL | 2 Before | 3 After | 7.157517 | 41.66411 | 0.000000 | **** |
| SIC_LDL | 1 NoTherapy | 2 Before | -5.872872 | 36.64602 | 0.000001 | **** |
| SIC_LDL | 1 NoTherapy | 3 After | 0.050075 | 37.31018 | 0.960000 | ns |
| SIC_LDL | 2 Before | 3 After | 6.162588 | 35.05665 | 0.000000 | **** |
| Triglycerides | 1 NoTherapy | 2 Before | -3.970823 | 37.54462 | 0.000312 | *** |
| Triglycerides | 1 NoTherapy | 3 After | -4.077208 | 30.63077 | 0.000300 | *** |
| Triglycerides | 2 Before | 3 After | -1.047938 | 36.49663 | 0.302000 | ns |
| VLDL | 1 NoTherapy | 2 Before | -3.348694 | 29.20581 | 0.002000 | ** |
| VLDL | 1 NoTherapy | 3 After | -4.077208 | 30.63077 | 0.000300 | *** |
| VLDL | 2 Before | 3 After | -0.351565 | 41.64479 | 0.727000 | ns |
Данные корреляции представленыдля группы без терапии в Таблице 1.3, до терапии в Таблице 1.4 и после терапии в Таблице 1.5.
| row | column | cor | p |
|---|---|---|---|
| ExoM | ExoS | -0.422 | 0.072 |
| ExoM | Cholesterol | 0.925 | 0.000 |
| ExoS | Cholesterol | -0.318 | 0.184 |
| ExoM | LDL | 0.728 | 0.000 |
| ExoS | LDL | -0.186 | 0.447 |
| Cholesterol | LDL | 0.782 | 0.000 |
| ExoM | VLDL | 0.345 | 0.147 |
| ExoS | VLDL | -0.294 | 0.221 |
| Cholesterol | VLDL | 0.403 | 0.087 |
| LDL | VLDL | 0.429 | 0.067 |
| ExoM | HDL | 0.398 | 0.091 |
| ExoS | HDL | -0.130 | 0.597 |
| Cholesterol | HDL | 0.423 | 0.071 |
| LDL | HDL | -0.170 | 0.487 |
| VLDL | HDL | -0.354 | 0.137 |
| ExoM | Triglycerides | 0.345 | 0.147 |
| ExoS | Triglycerides | -0.294 | 0.221 |
| Cholesterol | Triglycerides | 0.403 | 0.087 |
| LDL | Triglycerides | 0.429 | 0.067 |
| VLDL | Triglycerides | 1.000 | 0.000 |
| HDL | Triglycerides | -0.354 | 0.137 |
| row | column | cor | p |
|---|---|---|---|
| ExoM | ExoS | -0.604 | 0.003 |
| ExoM | Cholesterol | 0.975 | 0.000 |
| ExoS | Cholesterol | -0.570 | 0.006 |
| ExoM | LDL | 0.748 | 0.000 |
| ExoS | LDL | -0.284 | 0.199 |
| Cholesterol | LDL | 0.744 | 0.000 |
| ExoM | VLDL | 0.190 | 0.398 |
| ExoS | VLDL | 0.420 | 0.052 |
| Cholesterol | VLDL | 0.187 | 0.406 |
| LDL | VLDL | 0.338 | 0.124 |
| ExoM | HDL | 0.047 | 0.837 |
| ExoS | HDL | -0.467 | 0.029 |
| Cholesterol | HDL | 0.076 | 0.737 |
| LDL | HDL | -0.497 | 0.019 |
| VLDL | HDL | -0.735 | 0.000 |
| ExoM | Triglycerides | 0.221 | 0.323 |
| ExoS | Triglycerides | 0.207 | 0.355 |
| Cholesterol | Triglycerides | 0.215 | 0.337 |
| LDL | Triglycerides | 0.367 | 0.093 |
| VLDL | Triglycerides | 0.757 | 0.000 |
| HDL | Triglycerides | -0.693 | 0.000 |
| row | column | cor | p |
|---|---|---|---|
| ExoM | ExoS | -0.134 | 0.552 |
| ExoM | Cholesterol | 0.545 | 0.009 |
| ExoS | Cholesterol | 0.232 | 0.298 |
| ExoM | LDL | 0.284 | 0.200 |
| ExoS | LDL | -0.300 | 0.175 |
| Cholesterol | LDL | 0.359 | 0.101 |
| ExoM | VLDL | 0.186 | 0.406 |
| ExoS | VLDL | -0.041 | 0.857 |
| Cholesterol | VLDL | 0.401 | 0.065 |
| LDL | VLDL | 0.399 | 0.066 |
| ExoM | HDL | 0.100 | 0.659 |
| ExoS | HDL | 0.167 | 0.457 |
| Cholesterol | HDL | 0.160 | 0.476 |
| LDL | HDL | -0.384 | 0.078 |
| VLDL | HDL | -0.329 | 0.135 |
| ExoM | Triglycerides | 0.186 | 0.406 |
| ExoS | Triglycerides | -0.041 | 0.857 |
| Cholesterol | Triglycerides | 0.401 | 0.065 |
| LDL | Triglycerides | 0.399 | 0.066 |
| VLDL | Triglycerides | 1.000 | 0.000 |
| HDL | Triglycerides | -0.329 | 0.135 |
С целью оценки и исключения влияния зависимых переменных провели рассчёт частной корреляции Таблице ??, Таблице ?? и Таблице ??.
## $estimate
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 1.00000000 -0.38558549 0.91495754 0.6152099 0.02048571 0.54706575
## [2,] -0.38558549 1.00000000 0.23347880 0.3139255 -0.23720850 0.07443926
## [3,] 0.91495754 0.23347880 1.00000000 -0.5703090 -0.07655472 -0.69001516
## [4,] 0.61520994 0.31392553 -0.57030898 1.0000000 0.50406808 0.12415369
## [5,] 0.02048571 -0.23720850 -0.07655472 0.5040681 1.00000000 -0.20917235
## [6,] 0.54706575 0.07443926 -0.69001516 0.1241537 -0.20917235 1.00000000
## [7,] 0.02048571 -0.23720850 -0.07655472 0.5040681 -1.00000000 -0.20917235
## [,7]
## [1,] 0.02048571
## [2,] -0.23720850
## [3,] -0.07655472
## [4,] 0.50406808
## [5,] -1.00000000
## [6,] -0.20917235
## [7,] 1.00000000
##
## $p.value
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.000000e+00 0.1733319 4.537490e-06 0.01919332 0.94458330 0.042907503
## [2,] 1.733319e-01 0.0000000 4.217753e-01 0.27438494 0.41418189 0.800339289
## [3,] 4.537490e-06 0.4217753 0.000000e+00 0.03320932 0.79477403 0.006312263
## [4,] 1.919332e-02 0.2743849 3.320932e-02 0.00000000 0.06607699 0.672388307
## [5,] 9.445833e-01 0.4141819 7.947740e-01 0.06607699 0.00000000 0.472953551
## [6,] 4.290750e-02 0.8003393 6.312263e-03 0.67238831 0.47295355 0.000000000
## [7,] 9.445833e-01 0.4141819 7.947740e-01 0.06607699 NaN 0.472953551
## [,7]
## [1,] 9.445833e-01
## [2,] 4.141819e-01
## [3,] 7.947740e-01
## [4,] 6.607699e-02
## [5,] 2.399515e-86
## [6,] 4.729536e-01
## [7,] 0.000000e+00
##
## $statistic
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.00000000 -1.4476511 7.8540578 2.7032584 0.07097949 2.2639049
## [2,] -1.44765111 0.0000000 0.8317832 1.1453712 -0.84585612 0.2585826
## [3,] 7.85405781 0.8317832 0.0000000 -2.4050834 -0.26597385 -3.3024308
## [4,] 2.70325837 1.1453712 -2.4050834 0.0000000 2.02178532 0.4334345
## [5,] 0.07097949 -0.8458561 -0.2659739 2.0217853 0.00000000 -0.7409858
## [6,] 2.26390492 0.2585826 -3.3024308 0.4334345 -0.74098576 0.0000000
## [7,] 0.07097949 -0.8458561 -0.2659739 2.0217853 NaN -0.7409858
## [,7]
## [1,] 7.097949e-02
## [2,] -8.458561e-01
## [3,] -2.659739e-01
## [4,] 2.021785e+00
## [5,] -4.175319e+07
## [6,] -7.409858e-01
## [7,] 0.000000e+00
##
## $n
## [1] 19
##
## $gp
## [1] 5
##
## $method
## [1] "pearson"
## $estimate
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 1.0000000 -0.39819134 0.9493633 0.82320718 0.46817470 0.72751108
## [2,] -0.3981913 1.00000000 0.2047178 0.09824247 0.55831926 -0.06640545
## [3,] 0.9493633 0.20471779 1.0000000 -0.81213268 -0.45429467 -0.85648861
## [4,] 0.8232072 0.09824247 -0.8121327 1.00000000 -0.08511559 -0.53079408
## [5,] 0.4681747 0.55831926 -0.4542947 -0.08511559 1.00000000 -0.21816979
## [6,] 0.7275111 -0.06640545 -0.8564886 -0.53079408 -0.21816979 1.00000000
## [7,] 0.1170667 -0.17519256 -0.1350874 -0.10454086 0.52431272 -0.36925633
## [,7]
## [1,] 0.1170667
## [2,] -0.1751926
## [3,] -0.1350874
## [4,] -0.1045409
## [5,] 0.5243127
## [6,] -0.3692563
## [7,] 1.0000000
##
## $p.value
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.000000e+00 0.11341725 6.083506e-09 4.919577e-05 0.05804913 9.333616e-04
## [2,] 1.134172e-01 0.00000000 4.305900e-01 7.075713e-01 0.01984338 8.000978e-01
## [3,] 6.083506e-09 0.43059005 0.000000e+00 7.497944e-05 0.06696234 1.139992e-05
## [4,] 4.919577e-05 0.70757125 7.497944e-05 0.000000e+00 0.74533283 2.836361e-02
## [5,] 5.804913e-02 0.01984338 6.696234e-02 7.453328e-01 0.00000000 4.002231e-01
## [6,] 9.333616e-04 0.80009784 1.139992e-05 2.836361e-02 0.40022307 0.000000e+00
## [7,] 6.545452e-01 0.50123459 6.052019e-01 6.896733e-01 0.03072807 1.446597e-01
## [,7]
## [1,] 0.65454521
## [2,] 0.50123459
## [3,] 0.60520189
## [4,] 0.68967330
## [5,] 0.03072807
## [6,] 0.14465970
## [7,] 0.00000000
##
## $statistic
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.0000000 -1.6812214 11.7030518 5.6157072 2.0520135 4.1067702
## [2,] -1.6812214 0.0000000 0.8100241 0.3823410 2.6064283 -0.2577561
## [3,] 11.7030518 0.8100241 0.0000000 -5.3907849 -1.9750494 -6.4265500
## [4,] 5.6157072 0.3823410 -5.3907849 0.0000000 -0.3308519 -2.4256692
## [5,] 2.0520135 2.6064283 -1.9750494 -0.3308519 0.0000000 -0.8658250
## [6,] 4.1067702 -0.2577561 -6.4265500 -2.4256692 -0.8658250 0.0000000
## [7,] 0.4565365 -0.6891766 -0.5280313 -0.4071158 2.3847245 -1.5388800
## [,7]
## [1,] 0.4565365
## [2,] -0.6891766
## [3,] -0.5280313
## [4,] -0.4071158
## [5,] 2.3847245
## [6,] -1.5388800
## [7,] 0.0000000
##
## $n
## [1] 22
##
## $gp
## [1] 5
##
## $method
## [1] "pearson"
## $estimate
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 1.00000000 -0.30184421 0.5107970 0.01067626 -0.07763211 0.02616266
## [2,] -0.30184421 1.00000000 0.4637505 -0.38189252 -0.08172798 -0.08756395
## [3,] 0.51079701 0.46375045 1.0000000 0.39697011 0.38098143 0.36543209
## [4,] 0.01067626 -0.38189252 0.3969701 1.00000000 0.07975670 -0.41068239
## [5,] -0.07763211 -0.08172798 0.3809814 0.07975670 1.00000000 -0.34836425
## [6,] 0.02616266 -0.08756395 0.3654321 -0.41068239 -0.34836425 1.00000000
## [7,] -0.07763211 -0.08172798 0.3809814 0.07975670 -1.00000000 -0.34836425
## [,7]
## [1,] -0.07763211
## [2,] -0.08172798
## [3,] 0.38098143
## [4,] 0.07975670
## [5,] -1.00000000
## [6,] -0.34836425
## [7,] 1.00000000
##
## $p.value
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.00000000 0.2390137 0.03614333 0.9675612 0.7671144 0.9206054
## [2,] 0.23901366 0.0000000 0.06078830 0.1303650 0.7551714 0.7382452
## [3,] 0.03614333 0.0607883 0.00000000 0.1146302 0.1313615 0.1491897
## [4,] 0.96756121 0.1303650 0.11463020 0.0000000 0.7609130 0.1015268
## [5,] 0.76711442 0.7551714 0.13136146 0.7609130 0.0000000 0.1705867
## [6,] 0.92060541 0.7382452 0.14918966 0.1015268 0.1705867 0.0000000
## [7,] 0.76711442 0.7551714 0.13136146 0.7609130 NaN 0.1705867
## [,7]
## [1,] 7.671144e-01
## [2,] 7.551714e-01
## [3,] 1.313615e-01
## [4,] 7.609130e-01
## [5,] 1.750647e-112
## [6,] 1.705867e-01
## [7,] 0.000000e+00
##
## $statistic
## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.00000000 -1.2262324 2.301158 0.04135133 -0.3015780 0.1013623
## [2,] -1.22623245 0.0000000 2.027277 -1.60035984 -0.3175935 -0.3404414
## [3,] 2.30115763 2.0272765 0.000000 1.67509890 1.5958927 1.5204712
## [4,] 0.04135133 -1.6003598 1.675099 0.00000000 0.3098835 -1.7444655
## [5,] -0.30157801 -0.3175935 1.595893 0.30988354 0.0000000 -1.4393723
## [6,] 0.10136225 -0.3404414 1.520471 -1.74446545 -1.4393723 0.0000000
## [7,] -0.30157801 -0.3175935 1.595893 0.30988354 NaN -1.4393723
## [,7]
## [1,] -3.015780e-01
## [2,] -3.175935e-01
## [3,] 1.595893e+00
## [4,] 3.098835e-01
## [5,] -9.823732e+07
## [6,] -1.439372e+00
## [7,] 0.000000e+00
##
## $n
## [1] 22
##
## $gp
## [1] 5
##
## $method
## [1] "pearson"
Figure 1.2: Линейная регрессия y ~ x (отн. конценртация экзомеров ~ холестерин)
Figure 1.3: Линейная регрессия y ~ x (отн. конценртация экзомеров ~ холестерин)
## [1] 5.700183 4.205337 5.394289 5.281130 6.295263 5.773678 3.924006 4.157848
## [9] 6.010076 4.814360 4.636733 5.973393 4.537847 4.782038 5.093002 4.660351
## [17] 6.130591 4.997129 4.875704 5.132960 8.907490 6.704388 7.044944 6.903568
## [25] 7.343695 8.263553 7.428268 6.962277 6.854614 6.407611 6.713945 6.130591
## [33] 6.169890 7.054542 7.066992 6.453063 6.693872 6.586930 7.039061 7.664243
## [41] 7.884059 8.237915 6.456217 4.456918 5.192859 3.690539 3.978327 4.982498
## [49] 4.075622 5.552271 4.723569 4.477359 3.896521 4.314977 4.412692 5.413260
## [57] 5.615817 3.886674 4.512811 4.742779 5.823912 6.029184 5.397527 4.274920
Figure 1.4: Линейная регрессия y ~ x (отн. конценртация холестерин ~ экзосомы)
## [1] 0.11489125 0.04242641 0.10630146 0.11704700 0.13341664 0.13453624
## [7] 0.06928203 0.08246211 0.10954451 0.08831761 0.07000000 0.08185353
## [13] 0.09486833 0.10770330 0.07745967 0.06928203 0.11532563 0.08944272
## [19] 0.10770330 0.09591663 0.19672316 0.13341664 0.10295630 0.13038405
## [25] 0.14282857 0.16278821 0.16124515 0.12000000 0.14525839 0.12529964
## [31] 0.14798649 0.11532563 0.12806248 0.11269428 0.13601471 0.11916375
## [37] 0.13711309 0.11661904 0.14177447 0.14730920 0.14491377 0.18083141
## [43] 0.13601471 0.06782330 0.10908712 0.06480741 0.08185353 0.12124356
## [49] 0.06164414 0.11958261 0.09327379 0.09591663 0.07416198 0.09643651
## [55] 0.07937254 0.10099505 0.08185353 0.08426150 0.08602325 0.08944272
## [61] 0.12449900 0.12409674 0.08062258 0.10677078
Figure 1.5: Линейная регрессия y ~ x (отн. конценртация холестерин ~ экзосомы)
Figure 1.6: Линейная регрессия y ~ x (отн. конценртация холестерин ~ экзосомы)
Figure 1.7: Линейная регрессия y ~ x (отн. конценртация холестерин ~ экзосомы)
## TableGrob (2 x 2) "arrange": 3 grobs
## z cells name grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]
| Group | .y. | group1 | group2 | n1 | n2 | statistic | df | p | p.adj | p.adj.signif |
|---|---|---|---|---|---|---|---|---|---|---|
| After therapy | Mes | ExoM SIC% | ExoM SIC%+ЛПНП | 22 | 22 | -8.594312 | 21 | 2.56e-08 | 2.56e-08 | **** |
| Before therapy | Mes | ExoM SIC% | ExoM SIC%+ЛПНП | 22 | 22 | -13.812622 | 21 | 5.00e-12 | 5.00e-12 | **** |
| Without Therapy | Mes | ExoM SIC% | ExoM SIC%+ЛПНП | 19 | 19 | -9.350472 | 18 | 2.48e-08 | 2.48e-08 | **** |
Figure 1.8: Данные измерений плазмы, парные сравнения (ns: p > 0.05, \(*\): p <= 0.05, \(**\): p <= 0.01, \(***\): p <= 0.001, \(****\): p <= 0.0001)
Figure 1.9: Линейная регрессия y ~ x (отн. конценртация холестерин ~ экзосомы)
## TableGrob (2 x 2) "arrange": 3 grobs
## z cells name grob
## 1 1 (1-1,1-1) arrange gtable[layout]
## 2 2 (1-1,2-2) arrange gtable[layout]
## 3 3 (2-2,1-1) arrange gtable[layout]