Table 5.

Analysis of grid size for Wi-Fi fingerprinting in the noisy world using 1-NN: Mean positioning error; Maximum positioning Error; Maximum expected error (MEE) and percentage of cases above MEE.

Noise	Grid	Mean Error	Max. Error	Max. Expected Error	% Cases above the MEE
$\sigma =1$	10.0 m	$4.086\pm 0.180$	$6.968\pm 0.115$	$7.071$	$5.500$
	5.0 m	$2.389\pm 0.122$	$5.508\pm 0.101$	$3.536$	$17.250$
	2.0 m	$1.852\pm 0.106$	$6.121\pm 0.084$	$1.414$	$60.872$
	1.0 m	$1.728\pm 0.099$	$6.255\pm 0.075$	$0.707$	$86.154$
	0.5 m	$1.647\pm 0.095$	$6.781\pm 0.054$	$0.354$	$95.973$
$\sigma =2$	10.0 m	$4.849\pm 0.245$	$9.045\pm 0.169$	$7.071$	$19.100$
	5.0 m	$3.761\pm 0.205$	$9.192\pm 0.156$	$3.536$	$49.325$
	2.0 m	$3.370\pm 0.192$	$10.870\pm 0.159$	$1.414$	$85.744$
	1.0 m	$3.218\pm 0.184$	$11.764\pm 0.111$	$0.707$	$95.587$
	0.5 m	$3.102\pm 0.178$	$12.512\pm 0.098$	$0.354$	$98.826$
$\sigma =3$	10.0 m	$5.996\pm 0.328$	$11.667\pm 0.318$	$7.071$	$32.300$
	5.0 m	$5.254\pm 0.298$	$13.373\pm 0.238$	$3.536$	$68.050$
	2.0 m	$4.827\pm 0.282$	$16.322\pm 0.277$	$1.414$	$92.312$
	1.0 m	$4.610\pm 0.268$	$18.498\pm 0.294$	$0.707$	$97.787$
	0.5 m	$4.492\pm 0.263$	$21.336\pm 0.412$	$0.354$	$99.395$
$\sigma =4$	10.0 m	$7.717\pm 0.425$	$15.248\pm 0.416$	$7.071$	$52.000$
	5.0 m	$6.826\pm 0.416$	$18.884\pm 0.569$	$3.536$	$79.425$
	2.0 m	$6.242\pm 0.379$	$23.570\pm 0.545$	$1.414$	$94.924$
	1.0 m	$6.010\pm 0.365$	$27.152\pm 0.575$	$0.707$	$98.633$
	0.5 m	$5.855\pm 0.356$	$32.759\pm 0.656$	$0.354$	$99.622$
$\sigma =5$	10.0 m	$9.353\pm 0.567$	$19.674\pm 0.671$	$7.071$	$60.400$
	5.0 m	$8.308\pm 0.517$	$23.980\pm 0.655$	$3.536$	$83.750$
	2.0 m	$7.676\pm 0.481$	$30.767\pm 0.745$	$1.414$	$96.768$
	1.0 m	$7.376\pm 0.468$	$37.907\pm 0.678$	$0.707$	$99.004$
	0.5 m	$7.191\pm 0.456$	$43.149\pm 0.509$	$0.354$	$99.738$