Table 3 Estimated regression coefficients (SE), p-value and estimated odds ratios (95% confidence intervals) for model \(M_2\)

Child / household related variables

Intercept

   \(\alpha _1\): 1|2

-0.664 (0.357)

0.063

0.515 (0.256, 1.036)

   \(\alpha _2\): 2|3

1.682 (0.342)

\(<0.0001\)

5.377 (2.752, 10.505)

   \(\alpha _3\): 3|4

2.628 (0.336)

\(<0.0001\)

13.849 (7.173, 26.740)

Age

-0.378 (0.041)

\(<0.0001\)

0.686 (0.632, 0.743)

Gender, Female

-0.262 (0.152)

0.085

0.770 (0.572, 1.037)

Age \(\times\) Gender

0.068 (0.054)

0.208

1.071 (0.963, 1.190)

Malaria RDT result, Positive

1.521 (0.250)

\(<0.0001\)

4.578 (2.804, 7.473)

Mosquito net use, Yes

-0.232 (0.101)

0.022

0.793 (0.651, 0.967)

Household members

-0.032 (0.020)

0.116

0.969 (0.931, 1.008)

Main source of drinking water (Ref Unprotected)

0.6169

   Protected

-0.107 (0.113)

0.344

0.899 (0.721, 1.121)

   Piped water

0.005 (0.121)

0.968

1.005 (0.793, 1.274)

Type of toilet facility (Ref No facility)

0.4570

   Pit latrine

-0.011 (0.104)

0.918

0.989 (0.807, 1.213)

   Flush & hanging toilets

-0.164 (0.149)

0.271

0.849 (0.634, 1.137)

Household wealth index (Ref Poorest)

0.0306

   Second

-0.072 (0.119)

0.544

0.930 (0.736, 1.1754)

   Middle

-0.137 (0.125)

0.274

0.872 (0.682, 1.1146)

   Fourth

-0.403 (0.139)

0.004

0.668 (0.509, 0.8784)

   Richest

-0.278 (0.134)

0.038

0.757 (0.582, 0.9852)

Region (Ref Oromiya)

0.1801

   Amhara

-0.102 (0.129)

0.4285

0.903 (0.702, 1.162)

   SNNP

-0.221 (0.119)

0.0645

0.802 (0.635, 1.014)

Median altitude

-0.001 (0.0001)

\(<0.0001\)

0.999 (0.9987, 0.9993)